Teuchos_LAPACK.hpp

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#ifndef _TEUCHOS_LAPACK_HPP_
#define _TEUCHOS_LAPACK_HPP_
 
#include "Teuchos_ConfigDefs.hpp"
#include "Teuchos_ScalarTraits.hpp"
 
namespace Teuchos
{
 
  template<class T>
  struct UndefinedLAPACKRoutine
  {
    // This function should not compile if there is an attempt to instantiate!
    static inline T notDefined() { return T::LAPACK_routine_not_defined_for_this_type(); }
  };
 
  template<typename OrdinalType, typename ScalarType>
  class LAPACK
  {
  public:
 
    typedef typename Teuchos::ScalarTraits<ScalarType>::magnitudeType MagnitudeType;
 
 
 
    inline LAPACK(void) {}
 
    inline LAPACK(const LAPACK<OrdinalType, ScalarType>& lapack) {}
 
    inline virtual ~LAPACK(void) {}
 
 
 
    void PTTRF(const OrdinalType& n, ScalarType* d, ScalarType* e, OrdinalType* info) const;
 
    void PTTRS(const OrdinalType& n, const OrdinalType& nrhs, const ScalarType* d, const ScalarType* e, ScalarType* B, const OrdinalType& ldb, OrdinalType* info) const;
 
    void POTRF(const char& UPLO, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* info) const;
 
    void POTRS(const char& UPLO, const OrdinalType& n, const OrdinalType& nrhs, const ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, OrdinalType* info) const;
 
    void POTRI(const char& UPLO, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* info) const;
 
 
    void POCON(const char& UPLO, const OrdinalType& n, const ScalarType* A, const OrdinalType& lda, const ScalarType& anorm, ScalarType* rcond, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const;
 
    void POSV(const char& UPLO, const OrdinalType& n, const OrdinalType& nrhs, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, OrdinalType* info) const;
 
    void POEQU(const OrdinalType& n, const ScalarType* A, const OrdinalType& lda, MagnitudeType* S, MagnitudeType* scond, MagnitudeType* amax, OrdinalType* info) const;
 
    void PORFS(const char& UPLO, const OrdinalType& n, const OrdinalType& nrhs, const ScalarType* A, const OrdinalType& lda, const ScalarType* AF, const OrdinalType& ldaf, const ScalarType* B, const OrdinalType& ldb, ScalarType* X, const OrdinalType& ldx, ScalarType* FERR, ScalarType* BERR, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const;
 
    void POSVX(const char& FACT, const char& UPLO, const OrdinalType& n, const OrdinalType& nrhs, ScalarType* A, const OrdinalType& lda, ScalarType* AF, const OrdinalType& ldaf, char* EQUED, ScalarType* S, ScalarType* B, const OrdinalType& ldb, ScalarType* X, const OrdinalType& ldx, ScalarType* rcond, ScalarType* FERR, ScalarType* BERR, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const;
 
 
 
    void GELS(const char& TRANS, const OrdinalType& m, const OrdinalType& n, const OrdinalType& nrhs, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
 
    void GELSS(const OrdinalType& m, const OrdinalType& n, const OrdinalType& nrhs, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, MagnitudeType* S, const MagnitudeType rcond, OrdinalType* rank, ScalarType* WORK, const OrdinalType& lwork, MagnitudeType* RWORK, OrdinalType* info) const;
 
    void GELSS(const OrdinalType& m, const OrdinalType& n, const OrdinalType& nrhs, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, ScalarType* S, const ScalarType& rcond, OrdinalType* rank, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
 
    void GGLSE(const OrdinalType& m, const OrdinalType& n, const OrdinalType& p, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, ScalarType* C, ScalarType* D, ScalarType* X, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
 
    void GEQRF (const OrdinalType& m, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* TAU, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
 
    void GEQR2 (const OrdinalType& m, const OrdinalType& n, ScalarType A[], const OrdinalType& lda, ScalarType TAU[], ScalarType WORK[], OrdinalType* const info) const;
 
    void GETRF(const OrdinalType& m, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* IPIV, OrdinalType* info) const;
 
    void GETRS(const char& TRANS, const OrdinalType& n, const OrdinalType& nrhs, const ScalarType* A, const OrdinalType& lda, const OrdinalType* IPIV, ScalarType* B, const OrdinalType& ldb, OrdinalType* info) const;
 
    void LASCL(const char& TYPE, const OrdinalType& kl, const OrdinalType& ku, const MagnitudeType cfrom, const MagnitudeType cto, const OrdinalType& m, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* info) const;
 
    void
    GEQP3(const OrdinalType& m,
          const OrdinalType& n, ScalarType* A,
          const OrdinalType& lda,
          OrdinalType* jpvt,
          ScalarType* TAU,
          ScalarType* WORK,
          const OrdinalType& lwork,
          MagnitudeType* RWORK,
          OrdinalType* info ) const;
 
    void
    LASWP (const OrdinalType& N,
           ScalarType A[],
           const OrdinalType& LDA,
           const OrdinalType& K1,
           const OrdinalType& K2,
           const OrdinalType IPIV[],
           const OrdinalType& INCX) const;
 
    void GBTRF(const OrdinalType& m, const OrdinalType& n, const OrdinalType& kl, const OrdinalType& ku, ScalarType* A, const OrdinalType& lda, OrdinalType* IPIV, OrdinalType* info) const;
 
    void GBTRS(const char& TRANS, const OrdinalType& n, const OrdinalType& kl, const OrdinalType& ku, const OrdinalType& nrhs, const ScalarType* A, const OrdinalType& lda, const OrdinalType* IPIV, ScalarType* B, const OrdinalType& ldb, OrdinalType* info) const;
 
    void GTTRF(const OrdinalType& n, ScalarType* dl, ScalarType* d, ScalarType* du, ScalarType* du2, OrdinalType* IPIV, OrdinalType* info) const;
 
    void GTTRS(const char& TRANS, const OrdinalType& n, const OrdinalType& nrhs, const ScalarType* dl, const ScalarType* d, const ScalarType* du, const ScalarType* du2, const OrdinalType* IPIV, ScalarType* B, const OrdinalType& ldb, OrdinalType* info) const;
 
    void GETRI(const OrdinalType& n, ScalarType* A, const OrdinalType& lda, const OrdinalType* IPIV, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
 
    void
    LATRS (const char& UPLO,
           const char& TRANS,
           const char& DIAG,
           const char& NORMIN,
           const OrdinalType& N,
           ScalarType* A,
           const OrdinalType& LDA,
           ScalarType* X,
           MagnitudeType* SCALE,
           MagnitudeType* CNORM,
           OrdinalType* INFO) const;
 
    void GECON(const char& NORM, const OrdinalType& n, const ScalarType* A, const OrdinalType& lda, const ScalarType& anorm, ScalarType* rcond, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const;
 
    void GBCON(const char& NORM, const OrdinalType& n, const OrdinalType& kl, const OrdinalType& ku, const ScalarType* A, const OrdinalType& lda, OrdinalType* IPIV, const ScalarType& anorm, ScalarType* rcond, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const;
 
    typename ScalarTraits<ScalarType>::magnitudeType LANGB(const char& NORM, const OrdinalType& n, const OrdinalType& kl, const OrdinalType& ku, const ScalarType* A, const OrdinalType& lda, MagnitudeType* WORK) const;
 
    void GESV(const OrdinalType& n, const OrdinalType& nrhs, ScalarType* A, const OrdinalType& lda, OrdinalType* IPIV, ScalarType* B, const OrdinalType& ldb, OrdinalType* info) const;
 
    void GEEQU(const OrdinalType& m, const OrdinalType& n, const ScalarType* A, const OrdinalType& lda, ScalarType* R, ScalarType* C, ScalarType* rowcond, ScalarType* colcond, ScalarType* amax, OrdinalType* info) const;
 
    void GERFS(const char& TRANS, const OrdinalType& n, const OrdinalType& nrhs, const ScalarType* A, const OrdinalType& lda, const ScalarType* AF, const OrdinalType& ldaf, const OrdinalType* IPIV, const ScalarType* B, const OrdinalType& ldb, ScalarType* X, const OrdinalType& ldx, ScalarType* FERR, ScalarType* BERR, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const;
 
    void GBEQU(const OrdinalType& m, const OrdinalType& n, const OrdinalType& kl, const OrdinalType& ku, const ScalarType* A, const OrdinalType& lda, MagnitudeType* R, MagnitudeType* C, MagnitudeType* rowcond, MagnitudeType* colcond, MagnitudeType* amax, OrdinalType* info) const;
 
    void GBRFS(const char& TRANS, const OrdinalType& n, const OrdinalType& kl, const OrdinalType& ku, const OrdinalType& nrhs, const ScalarType* A, const OrdinalType& lda, const ScalarType* AF, const OrdinalType& ldaf, const OrdinalType* IPIV, const ScalarType* B, const OrdinalType& ldb, ScalarType* X, const OrdinalType& ldx, ScalarType* FERR, ScalarType* BERR, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const;
 
 
    void GESVX(const char& FACT, const char& TRANS, const OrdinalType& n, const OrdinalType& nrhs, ScalarType* A, const OrdinalType& lda, ScalarType* AF, const OrdinalType& ldaf, OrdinalType* IPIV, char* EQUED, ScalarType* R, ScalarType* C, ScalarType* B, const OrdinalType& ldb, ScalarType* X, const OrdinalType& ldx, ScalarType* rcond, ScalarType* FERR, ScalarType* BERR, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const;
 
    void SYTRD(const char& UPLO, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* D, ScalarType* E, ScalarType* TAU, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
 
    void GEHRD(const OrdinalType& n, const OrdinalType& ilo, const OrdinalType& ihi, ScalarType* A, const OrdinalType& lda, ScalarType* TAU, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
 
    void TRTRS(const char& UPLO, const char& TRANS, const char& DIAG, const OrdinalType& n, const OrdinalType& nrhs, const ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, OrdinalType* info) const;
 
    void TRTRI(const char& UPLO, const char& DIAG, const OrdinalType& n, const ScalarType* A, const OrdinalType& lda, OrdinalType* info) const;
 
 
 
    void SPEV(const char& JOBZ, const char& UPLO, const OrdinalType& n, ScalarType* AP, ScalarType* W, ScalarType* Z, const OrdinalType& ldz, ScalarType* WORK, OrdinalType* info) const;
 
    void SYEV(const char& JOBZ, const char& UPLO, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* W, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
 
    void SYGV(const OrdinalType& itype, const char& JOBZ, const char& UPLO, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, ScalarType* W, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
 
    void HEEV(const char& JOBZ, const char& UPLO, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, MagnitudeType* W, ScalarType* WORK, const OrdinalType& lwork, MagnitudeType* RWORK, OrdinalType* info) const;
 
    void HEGV(const OrdinalType& itype, const char& JOBZ, const char& UPLO, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, MagnitudeType* W, ScalarType* WORK, const OrdinalType& lwork, MagnitudeType *RWORK, OrdinalType* info) const;
 
    void STEQR(const char& COMPZ, const OrdinalType& n, MagnitudeType* D, MagnitudeType* E, ScalarType* Z, const OrdinalType& ldz, MagnitudeType* WORK, OrdinalType* info) const;
 
    void PTEQR(const char& COMPZ, const OrdinalType& n, MagnitudeType* D, MagnitudeType* E, ScalarType* Z, const OrdinalType& ldz, MagnitudeType* WORK, OrdinalType* info) const;
 
 
 
    void HSEQR(const char& JOB, const char& COMPZ, const OrdinalType& n, const OrdinalType& ilo, const OrdinalType& ihi, ScalarType* H, const OrdinalType& ldh, ScalarType* WR, ScalarType* WI, ScalarType* Z, const OrdinalType& ldz, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
 
    void GEES(const char& JOBVS, const char& SORT, OrdinalType& (*ptr2func)(ScalarType*, ScalarType*), const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* sdim, ScalarType* WR, ScalarType* WI, ScalarType* VS, const OrdinalType& ldvs, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* BWORK, OrdinalType* info) const;
 
    void GEES(const char& JOBVS, const char& SORT, OrdinalType& (*ptr2func)(ScalarType*), const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* sdim, ScalarType* W, ScalarType* VS, const OrdinalType& ldvs, ScalarType* WORK, const OrdinalType& lwork, MagnitudeType* RWORK, OrdinalType* BWORK, OrdinalType* info) const;
 
    void GEES(const char& JOBVS, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* sdim, MagnitudeType* WR, MagnitudeType* WI, ScalarType* VS, const OrdinalType& ldvs, ScalarType* WORK, const OrdinalType& lwork, MagnitudeType* RWORK, OrdinalType* BWORK, OrdinalType* info) const;
 
    void GEEV(const char& JOBVL, const char& JOBVR, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, MagnitudeType* WR, MagnitudeType* WI, ScalarType* VL, const OrdinalType& ldvl, ScalarType* VR, const OrdinalType& ldvr, ScalarType* WORK, const OrdinalType& lwork, MagnitudeType* RWORK, OrdinalType* info) const;
 
    void GEEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* WR, ScalarType* WI, ScalarType* VL, const OrdinalType& ldvl, ScalarType* VR, const OrdinalType& ldvr, OrdinalType* ilo, OrdinalType* ihi, MagnitudeType* SCALE, MagnitudeType* abnrm, MagnitudeType* RCONDE, MagnitudeType* RCONDV, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* IWORK, OrdinalType* info) const;
 
    void GGEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, MagnitudeType* ALPHAR, MagnitudeType* ALPHAI, ScalarType* BETA, ScalarType* VL, const OrdinalType& ldvl, ScalarType* VR, const OrdinalType& ldvr, OrdinalType* ilo, OrdinalType* ihi, MagnitudeType* lscale, MagnitudeType* rscale, MagnitudeType* abnrm, MagnitudeType* bbnrm, MagnitudeType* RCONDE, MagnitudeType* RCONDV, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* IWORK, OrdinalType* BWORK, OrdinalType* info) const;
 
    void GGEV(const char& JOBVL, const char& JOBVR, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, MagnitudeType *ALPHAR, MagnitudeType *ALPHAI, ScalarType* BETA, ScalarType* VL, const OrdinalType& ldvl, ScalarType* VR, const OrdinalType& ldvr, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
 
 
  void TRSEN(const char& JOB, const char& COMPQ, const OrdinalType* SELECT, const OrdinalType& n, ScalarType* T, const OrdinalType& ldt, ScalarType* Q, const OrdinalType& ldq, MagnitudeType *WR, MagnitudeType *WI, OrdinalType* M, ScalarType* S, MagnitudeType *SEP, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* IWORK, const OrdinalType& liwork, OrdinalType* info ) const;
 
 
  void TGSEN(const OrdinalType& ijob, const OrdinalType& wantq, const OrdinalType& wantz, const OrdinalType* SELECT, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, MagnitudeType *ALPHAR, MagnitudeType *ALPHAI, MagnitudeType *BETA, ScalarType* Q, const OrdinalType& ldq, ScalarType* Z, const OrdinalType& ldz, OrdinalType* M, MagnitudeType *PL, MagnitudeType *PR, MagnitudeType *DIF, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* IWORK, const OrdinalType& liwork, OrdinalType* info ) const;
 
 
    void GGES(const char& JOBVL, const char& JOBVR, const char& SORT, OrdinalType& (*ptr2func)(ScalarType* , ScalarType* , ScalarType* ), const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, OrdinalType* sdim, MagnitudeType *ALPHAR, MagnitudeType *ALPHAI, MagnitudeType *BETA, ScalarType* VL, const OrdinalType& ldvl, ScalarType* VR, const OrdinalType& ldvr, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* BWORK, OrdinalType* info ) const;
 
 
 
 
 
    void GESVD(const char& JOBU, const char& JOBVT, const OrdinalType& m, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, MagnitudeType* S, ScalarType* U, const OrdinalType& ldu, ScalarType* V, const OrdinalType& ldv, ScalarType* WORK, const OrdinalType& lwork, MagnitudeType* RWORK, OrdinalType* info) const;
 
 
 
 
    void ORMQR(const char& SIDE, const char& TRANS, const OrdinalType& m, const OrdinalType& n, const OrdinalType& k, ScalarType* A, const OrdinalType& lda, const ScalarType* TAU, ScalarType* C, const OrdinalType& ldc, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
 
    void ORM2R(const char& SIDE, const char& TRANS, const OrdinalType& m, const OrdinalType& n, const OrdinalType& k, const ScalarType A[], const OrdinalType& lda, const ScalarType TAU[], ScalarType C[], const OrdinalType& ldc, ScalarType WORK[], OrdinalType* const info) const;
 
    void UNMQR(const char& SIDE, const char& TRANS, const OrdinalType& m, const OrdinalType& n, const OrdinalType& k, ScalarType* A, const OrdinalType& lda, const ScalarType* TAU, ScalarType* C, const OrdinalType& ldc, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
 
    void UNM2R(const char& SIDE, const char& TRANS, const OrdinalType& M, const OrdinalType& N, const OrdinalType& K, const ScalarType A[], const OrdinalType& LDA, const ScalarType TAU[], ScalarType C[], const OrdinalType& LDC, ScalarType WORK[], OrdinalType* const INFO) const;
 
    void ORGQR(const OrdinalType& m, const OrdinalType& n, const OrdinalType& k, ScalarType* A, const OrdinalType& lda, const ScalarType* TAU, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
 
    void UNGQR(const OrdinalType& m, const OrdinalType& n, const OrdinalType& k, ScalarType* A, const OrdinalType& lda, const ScalarType* TAU, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
 
    void ORGHR(const OrdinalType& n, const OrdinalType& ilo, const OrdinalType& ihi, ScalarType* A, const OrdinalType& lda, const ScalarType* TAU, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
 
    void ORMHR(const char& SIDE, const char& TRANS, const OrdinalType& m, const OrdinalType& n, const OrdinalType& ilo, const OrdinalType& ihi, const ScalarType* A, const OrdinalType& lda, const ScalarType* TAU, ScalarType* C, const OrdinalType& ldc, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
 
 
 
    void TREVC(const char& SIDE, const char& HOWMNY, OrdinalType* select, const OrdinalType& n, const ScalarType* T, const OrdinalType& ldt, ScalarType* VL, const OrdinalType& ldvl, ScalarType* VR, const OrdinalType& ldvr, const OrdinalType& mm, OrdinalType* m, ScalarType* WORK, OrdinalType* info) const;
 
    void TREVC(const char& SIDE, const OrdinalType& n, const ScalarType* T, const OrdinalType& ldt, ScalarType* VL, const OrdinalType& ldvl, ScalarType* VR, const OrdinalType& ldvr, const OrdinalType& mm, OrdinalType* m, ScalarType* WORK, MagnitudeType* RWORK, OrdinalType* info) const;
 
    void TREXC(const char& COMPQ, const OrdinalType& n, ScalarType* T, const OrdinalType& ldt, ScalarType* Q, const OrdinalType& ldq, OrdinalType* ifst, OrdinalType* ilst, ScalarType* WORK, OrdinalType* info) const;
 
    void TGEVC(const char& SIDE, const char& HOWMNY, const OrdinalType* SELECT, const OrdinalType& n, ScalarType* S, const OrdinalType& lds, ScalarType* P, const OrdinalType& ldp, ScalarType* VL, const OrdinalType& ldvl, ScalarType* VR, const OrdinalType& ldvr, const OrdinalType& mm, OrdinalType* M, ScalarType* WORK, OrdinalType* info) const;
 
 
 
 
 
    void LARTG( const ScalarType& f, const ScalarType& g, MagnitudeType* c, ScalarType* s, ScalarType* r ) const;
 
    void LARFG( const OrdinalType& n, ScalarType* alpha, ScalarType* x, const OrdinalType& incx, ScalarType* tau ) const;
 
 
 
 
 
    void GEBAL(const char& JOBZ, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* ilo, OrdinalType* ihi, MagnitudeType* scale, OrdinalType* info) const;
 
    void GEBAK(const char& JOBZ, const char& SIDE, const OrdinalType& n, const OrdinalType& ilo, const OrdinalType& ihi, const MagnitudeType* scale , const OrdinalType& m, ScalarType* V, const OrdinalType& ldv, OrdinalType* info) const;
 
 
 
 
    ScalarType LARND( const OrdinalType& idist, OrdinalType* seed ) const;
 
    void LARNV( const OrdinalType& idist, OrdinalType* seed, const OrdinalType& n, ScalarType* v ) const;
 
 
 
    ScalarType LAMCH(const char& CMACH) const;
 
    OrdinalType ILAENV( const OrdinalType& ispec, const std::string& NAME, const std::string& OPTS, const OrdinalType& N1 = -1, const OrdinalType& N2 = -1, const OrdinalType& N3 = -1, const OrdinalType& N4 = -1 ) const;
 
 
 
    ScalarType LAPY2(const ScalarType& x, const ScalarType& y) const;
  };
 
  // END GENERAL TEMPLATE DECLARATION //
 
  // BEGIN GENERAL TEMPLATE IMPLEMENTATION //
 
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::PTTRF(const OrdinalType& n, ScalarType* d, ScalarType* e, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::PTTRS(const OrdinalType& n, const OrdinalType& nrhs, const ScalarType* d, const ScalarType* e, ScalarType* B, const OrdinalType& ldb, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::POTRF(const char& UPLO, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::POTRS(const char& UPLO, const OrdinalType& n, const OrdinalType& nrhs, const ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::POTRI(const char& UPLO, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::POCON(const char& UPLO, const OrdinalType& n, const ScalarType* A, const OrdinalType& lda, const ScalarType& anorm, ScalarType* rcond, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::POSV(const char& UPLO, const OrdinalType& n, const OrdinalType& nrhs, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::POEQU(const OrdinalType& n, const ScalarType* A, const OrdinalType& lda, MagnitudeType* S, MagnitudeType* scond, MagnitudeType* amax, OrdinalType* info) const
  {
    // Test the input parameters
    *info = 0;
    if (n < 0) {
      *info = -1;
    } else if (lda < TEUCHOS_MAX(1, n)) {
      *info = -3;
    }
    if (*info != 0) {
      return;
    }
 
    ScalarType sZero = ScalarTraits<ScalarType>::zero();
    ScalarType sOne  = ScalarTraits<ScalarType>::one();
    MagnitudeType mZero = ScalarTraits<ScalarType>::magnitude(sZero);
    MagnitudeType mOne = ScalarTraits<ScalarType>::magnitude(sOne);
 
    // Quick return
    if (n == 0) {
      *scond = mOne;
      *amax = mZero;
      return;
    }
 
    // Find the minimum and maximum diagonal elements
    S[0] = ScalarTraits<ScalarType>::magnitude( A[0] );
    MagnitudeType smin = S[0];
    *amax = S[0];
    for (OrdinalType i=0; i<n; ++i) {
      S[i] = ScalarTraits<ScalarType>::magnitude( A[i*lda + i] );
      smin = TEUCHOS_MIN( smin, S[i] );
      *amax = TEUCHOS_MAX( *amax, S[i] );
    }
 
    if (smin < mZero) {
      // Find the first non-positve diagonal element and return an error code
      for (OrdinalType i=0; i<n; ++i) {
        if (S[i] < mZero)
          *info = i;
      }
    } else {
      // Set the scale factors to the reciprocals of the diagonal elements
      for (OrdinalType i=0; i<n; ++i) {
        S[i] = mOne / ScalarTraits<ScalarType>::squareroot( S[i] );
      }
      // Compute scond = min(S(i)) / max(S(i))
      *scond = ScalarTraits<ScalarType>::squareroot( smin ) / ScalarTraits<ScalarType>::squareroot( *amax );
    }
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::PORFS(const char& UPLO, const OrdinalType& n, const OrdinalType& nrhs, const ScalarType* A, const OrdinalType& lda, const ScalarType* AF, const OrdinalType& ldaf, const ScalarType* B, const OrdinalType& ldb, ScalarType* X, const OrdinalType& ldx, ScalarType* FERR, ScalarType* BERR, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::POSVX(const char& FACT, const char& UPLO, const OrdinalType& n, const OrdinalType& nrhs, ScalarType* A, const OrdinalType& lda, ScalarType* AF, const OrdinalType& ldaf, char* EQUED, ScalarType* S, ScalarType* B, const OrdinalType& ldb, ScalarType* X, const OrdinalType& ldx, ScalarType* rcond, ScalarType* FERR, ScalarType* BERR, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::GELS(const char& TRANS, const OrdinalType& m, const OrdinalType& n, const OrdinalType& nrhs, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::GELSS(const OrdinalType& m, const OrdinalType& n, const OrdinalType& nrhs, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, MagnitudeType* S, const MagnitudeType rcond, OrdinalType* rank, ScalarType* WORK, const OrdinalType& lwork, MagnitudeType* RWORK, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::GELSS(const OrdinalType& m, const OrdinalType& n, const OrdinalType& nrhs, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, ScalarType* S, const ScalarType& rcond, OrdinalType* rank, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::GGLSE(const OrdinalType& m, const OrdinalType& n, const OrdinalType& p, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, ScalarType* C, ScalarType* D, ScalarType* X, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::GEQRF( const OrdinalType& m, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* TAU, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::GEQR2 (const OrdinalType& m, const OrdinalType& n, ScalarType A[], const OrdinalType& lda, ScalarType TAU[], ScalarType WORK[], OrdinalType* const info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::GETRF(const OrdinalType& m, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* IPIV, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::GETRS(const char& TRANS, const OrdinalType& n, const OrdinalType& nrhs, const ScalarType* A, const OrdinalType& lda, const OrdinalType* IPIV, ScalarType* B, const OrdinalType& ldb, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::LASCL(const char& TYPE, const OrdinalType& kl, const OrdinalType& ku, const MagnitudeType cfrom, const MagnitudeType cto, const OrdinalType& m, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* info) const
  {
    MagnitudeType safeMin = ScalarTraits<ScalarType>::sfmin();
    ScalarType sZero = ScalarTraits<ScalarType>::zero();
    ScalarType sOne  = ScalarTraits<ScalarType>::one();
    MagnitudeType mZero = ScalarTraits<ScalarType>::magnitude(sZero);
    MagnitudeType mOne = ScalarTraits<ScalarType>::magnitude(sOne);
 
    MagnitudeType smlnum = ScalarTraits<ScalarType>::magnitude(safeMin);
    MagnitudeType bignum = ScalarTraits<ScalarType>::magnitude(sOne/smlnum);
 
    OrdinalType i, j;
    ScalarType* ptr;
    MagnitudeType mul;
    bool done = false;
 
    MagnitudeType cfromc = cfrom;
    MagnitudeType ctoc = cto;
    MagnitudeType cfrom1;
    MagnitudeType cto1;
 
    while (!done) {
 
      cfrom1 = cfromc*smlnum;
      if (cfrom1 == cfromc) {
        // cfromc is an inf. Multiply by a correctly signed zero for finite ctoc, or a NaN if ctoc is infinite.
        mul = ctoc / cfromc;
        done = true;
        cto1 = ctoc;
    } else {
        cto1 = ctoc / bignum;
        if (cto1 == ctoc) {
          // ctoc is either 0 or an inf. In both cases, ctoc itself serves as the correct multiplication factor.
          mul = ctoc;
          done = true;
          cfromc = mOne;
        } else if (ScalarTraits<ScalarType>::magnitude(cfrom1) > ScalarTraits<ScalarType>::magnitude(ctoc) && ctoc != mZero) {
          mul = smlnum;
          done = false;
          cfromc = cfrom1;
        } else if (ScalarTraits<ScalarType>::magnitude(cto1) > ScalarTraits<ScalarType>::magnitude(cfromc)) {
          mul = bignum;
          done = false;
          ctoc = cto1;
        } else {
          mul = ctoc / cfromc;
          done = true;
        }
      }
 
      for (j=0; j<n; j++) {
        ptr = A + j*lda;
        for (i=0; i<m; i++) { *ptr = mul * (*ptr); ptr++; }
      }
    }
 
  }
 
  template<typename OrdinalType, typename ScalarType>
  void
  LAPACK<OrdinalType,ScalarType>::
  GEQP3 (const OrdinalType& m,
         const OrdinalType& n,
         ScalarType* A,
         const OrdinalType& lda,
         OrdinalType* jpvt,
         ScalarType* TAU,
         ScalarType* WORK,
         const OrdinalType& lwork,
         MagnitudeType* RWORK,
         OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void
  LAPACK<OrdinalType, ScalarType>::
  LASWP (const OrdinalType& N,
         ScalarType A[],
         const OrdinalType& LDA,
         const OrdinalType& K1,
         const OrdinalType& K2,
         const OrdinalType IPIV[],
         const OrdinalType& INCX) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::GBTRF(const OrdinalType& m, const OrdinalType& n, const OrdinalType& kl, const OrdinalType& ku, ScalarType* A, const OrdinalType& lda, OrdinalType* IPIV, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::GBTRS(const char& TRANS, const OrdinalType& n, const OrdinalType& kl, const OrdinalType& ku, const OrdinalType& nrhs, const ScalarType* A, const OrdinalType& lda, const OrdinalType* IPIV, ScalarType* B, const OrdinalType& ldb, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::GTTRF(const OrdinalType& n, ScalarType* dl, ScalarType* d, ScalarType* du, ScalarType* du2, OrdinalType* IPIV, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::GTTRS(const char& TRANS, const OrdinalType& n, const OrdinalType& nrhs, const ScalarType* dl, const ScalarType* d, const ScalarType* du, const ScalarType* du2, const OrdinalType* IPIV, ScalarType* B, const OrdinalType& ldb, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::GETRI(const OrdinalType& n, ScalarType* A, const OrdinalType& lda, const OrdinalType* IPIV, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void
  LAPACK<OrdinalType,ScalarType>::
  LATRS (const char& UPLO,
         const char& TRANS,
         const char& DIAG,
         const char& NORMIN,
         const OrdinalType& N,
         ScalarType* A,
         const OrdinalType& LDA,
         ScalarType* X,
         MagnitudeType* SCALE,
         MagnitudeType* CNORM,
         OrdinalType* INFO) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::GECON(const char& NORM, const OrdinalType& n, const ScalarType* A, const OrdinalType& lda, const ScalarType& anorm, ScalarType* rcond, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::GBCON(const char& NORM, const OrdinalType& n, const OrdinalType& kl, const OrdinalType& ku, const ScalarType* A, const OrdinalType& lda, OrdinalType* IPIV, const ScalarType& anorm, ScalarType* rcond, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  typename ScalarTraits<ScalarType>::magnitudeType LAPACK<OrdinalType,ScalarType>::LANGB(const char& NORM, const OrdinalType& n, const OrdinalType& kl, const OrdinalType& ku, const ScalarType* A, const OrdinalType& lda, MagnitudeType* WORK) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::GESV(const OrdinalType& n, const OrdinalType& nrhs, ScalarType* A, const OrdinalType& lda, OrdinalType* IPIV, ScalarType* B, const OrdinalType& ldb, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::GEEQU(const OrdinalType& m, const OrdinalType& n, const ScalarType* A, const OrdinalType& lda, ScalarType* R, ScalarType* C, ScalarType* rowcond, ScalarType* colcond, ScalarType* amax, OrdinalType* info) const
  {
 
    // Test the input parameters
    *info = 0;
    if (m < 0) {
      *info = -1;
    } else if (n < 0) {
      *info = -2;
    } else if (lda < TEUCHOS_MAX(1, m)) {
      *info = -4;
    }
    if (*info != 0) {
      return;
    }
 
    ScalarType sZero = ScalarTraits<ScalarType>::zero();
    ScalarType sOne  = ScalarTraits<ScalarType>::one();
    MagnitudeType mZero = ScalarTraits<ScalarType>::magnitude(sZero);
    MagnitudeType mOne = ScalarTraits<ScalarType>::magnitude(sOne);
 
    // Quick return
    if (m == 0 || n == 0) {
      *rowcond = mOne;
      *colcond = mOne;
      *amax = mZero;
      return;
    }
 
    MagnitudeType safeMin = ScalarTraits<ScalarType>::sfmin();
    MagnitudeType smlnum = ScalarTraits<ScalarType>::magnitude(safeMin);
    MagnitudeType bignum = ScalarTraits<ScalarType>::magnitude(sOne/smlnum);
 
    // Compute the row scale factors
    for (OrdinalType i=0; i<m; i++) {
      R[i] = mZero;
    }
 
    // Find the maximum element in each row
    for (OrdinalType j=0; j<n; j++) {
      for (OrdinalType i=0; i<m; i++) {
        R[i] = TEUCHOS_MAX( R[i], ScalarTraits<ScalarType>::magnitude( A[j*lda + i] ) );
      }
    }
 
    // Find the maximum and minimum scale factors
    MagnitudeType rcmin = bignum;
    MagnitudeType rcmax = mZero;
    for (OrdinalType i=0; i<m; i++) {
      rcmax = TEUCHOS_MAX( rcmax, R[i] );
      rcmin = TEUCHOS_MIN( rcmin, R[i] );
    }
    *amax = rcmax;
 
    if (rcmin == mZero) {
      // Find the first zero scale factor and return an error code
      for (OrdinalType i=0; i<m; i++) {
        if (R[i] == mZero)
          *info = i;
      }
    } else {
      // Invert the scale factors
      for (OrdinalType i=0; i<m; i++) {
        R[i] = mOne / TEUCHOS_MIN( TEUCHOS_MAX( R[i], smlnum ), bignum );
      }
      // Compute rowcond = min(R(i)) / max(R(i))
      *rowcond = TEUCHOS_MAX( rcmin, smlnum ) / TEUCHOS_MIN( rcmax, bignum );
    }
 
    // Compute the column scale factors
    for (OrdinalType j=0; j<n; j++) {
      C[j] = mZero;
    }
 
    // Find the maximum element in each column, assuming the row scaling computed above
    for (OrdinalType j=0; j<n; j++) {
      for (OrdinalType i=0; i<m; i++) {
        C[j] = TEUCHOS_MAX( C[j], R[i]*ScalarTraits<ScalarType>::magnitude( A[j*lda + i] ) );
      }
    }
 
    // Find the maximum and minimum scale factors
    rcmin = bignum;
    rcmax = mZero;
    for (OrdinalType j=0; j<n; j++) {
      rcmax = TEUCHOS_MAX( rcmax, C[j] );
      rcmin = TEUCHOS_MIN( rcmin, C[j] );
    }
 
    if (rcmin == mZero) {
      // Find the first zero scale factor and return an error code
      for (OrdinalType j=0; j<n; j++) {
        if (C[j] == mZero)
          *info = m+j;
      }
    } else {
      // Invert the scale factors
      for (OrdinalType j=0; j<n; j++) {
        C[j] = mOne / TEUCHOS_MIN( TEUCHOS_MAX( C[j], smlnum ), bignum );
      }
      // Compute colcond = min(C(j)) / max(C(j))
      *colcond = TEUCHOS_MAX( rcmin, smlnum ) / TEUCHOS_MIN( rcmax, bignum );
    }
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::GERFS(const char& TRANS, const OrdinalType& n, const OrdinalType& nrhs, const ScalarType* A, const OrdinalType& lda, const ScalarType* AF, const OrdinalType& ldaf, const OrdinalType* IPIV, const ScalarType* B, const OrdinalType& ldb, ScalarType* X, const OrdinalType& ldx, ScalarType* FERR, ScalarType* BERR, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::GBEQU(const OrdinalType& m, const OrdinalType& n, const OrdinalType& kl, const OrdinalType& ku, const ScalarType* A, const OrdinalType& lda, MagnitudeType* R, MagnitudeType* C, MagnitudeType* rowcond, MagnitudeType* colcond, MagnitudeType* amax, OrdinalType* info) const
  {
 
    // Test the input parameters
   * info = 0;
    if (m < 0) {
      *info = -1;
    } else if (n < 0) {
      *info = -2;
    } else if (kl < 0) {
      *info = -3;
    } else if (ku < 0) {
      *info = -4;
    } else if (lda < kl+ku+1) {
      *info = -6;
    }
    if (*info != 0) {
      return;
    }
 
    ScalarType sZero = ScalarTraits<ScalarType>::zero();
    ScalarType sOne  = ScalarTraits<ScalarType>::one();
    MagnitudeType mZero = ScalarTraits<ScalarType>::magnitude(sZero);
    MagnitudeType mOne = ScalarTraits<ScalarType>::magnitude(sOne);
 
    // Quick return
    if (m == 0 || n == 0) {
      *rowcond = mOne;
      *colcond = mOne;
      *amax = mZero;
      return;
    }
 
    MagnitudeType safeMin = ScalarTraits<ScalarType>::sfmin();
    MagnitudeType smlnum = ScalarTraits<ScalarType>::magnitude(safeMin);
    MagnitudeType bignum = ScalarTraits<ScalarType>::magnitude(sOne/smlnum);
 
    // Compute the row scale factors
    for (OrdinalType i=0; i<m; i++) {
      R[i] = mZero;
    }
 
    // Find the maximum element in each row
    for (OrdinalType j=0; j<n; j++) {
      for (OrdinalType i=TEUCHOS_MAX(j-ku,0); i<TEUCHOS_MIN(j+kl,m-1); i++) {
        R[i] = TEUCHOS_MAX( R[i], ScalarTraits<ScalarType>::magnitude( A[j*lda + ku+i-j] ) );
      }
    }
 
    // Find the maximum and minimum scale factors
    MagnitudeType rcmin = bignum;
    MagnitudeType rcmax = mZero;
    for (OrdinalType i=0; i<m; i++) {
      rcmax = TEUCHOS_MAX( rcmax, R[i] );
      rcmin = TEUCHOS_MIN( rcmin, R[i] );
    }
    *amax = rcmax;
 
    if (rcmin == mZero) {
      // Find the first zero scale factor and return an error code
      for (OrdinalType i=0; i<m; i++) {
        if (R[i] == mZero)
          *info = i;
      }
    } else {
      // Invert the scale factors
      for (OrdinalType i=0; i<m; i++) {
        R[i] = mOne / TEUCHOS_MIN( TEUCHOS_MAX( R[i], smlnum ), bignum );
      }
      // Compute rowcond = min(R(i)) / max(R(i))
      *rowcond = TEUCHOS_MAX( rcmin, smlnum ) / TEUCHOS_MIN( rcmax, bignum );
    }
 
    // Compute the column scale factors
    for (OrdinalType j=0; j<n; j++) {
      C[j] = mZero;
    }
 
    // Find the maximum element in each column, assuming the row scaling computed above
    for (OrdinalType j=0; j<n; j++) {
      for (OrdinalType i=TEUCHOS_MAX(j-ku,0); i<TEUCHOS_MIN(j+kl,m-1); i++) {
        C[j] = TEUCHOS_MAX( C[j], R[i]*ScalarTraits<ScalarType>::magnitude( A[j*lda + ku+i-j] ) );
      }
    }
 
    // Find the maximum and minimum scale factors
    rcmin = bignum;
    rcmax = mZero;
    for (OrdinalType j=0; j<n; j++) {
      rcmax = TEUCHOS_MAX( rcmax, C[j] );
      rcmin = TEUCHOS_MIN( rcmin, C[j] );
    }
 
    if (rcmin == mZero) {
      // Find the first zero scale factor and return an error code
      for (OrdinalType j=0; j<n; j++) {
        if (C[j] == mZero)
          *info = m+j;
      }
    } else {
      // Invert the scale factors
      for (OrdinalType j=0; j<n; j++) {
        C[j] = mOne / TEUCHOS_MIN( TEUCHOS_MAX( C[j], smlnum ), bignum );
      }
      // Compute colcond = min(C(j)) / max(C(j))
      *colcond = TEUCHOS_MAX( rcmin, smlnum ) / TEUCHOS_MIN( rcmax, bignum );
    }
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::GBRFS(const char& TRANS, const OrdinalType& n, const OrdinalType& kl, const OrdinalType& ku, const OrdinalType& nrhs, const ScalarType* A, const OrdinalType& lda, const ScalarType* AF, const OrdinalType& ldaf, const OrdinalType* IPIV, const ScalarType* B, const OrdinalType& ldb, ScalarType* X, const OrdinalType& ldx, ScalarType* FERR, ScalarType* BERR, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::GESVX(const char& FACT, const char& TRANS, const OrdinalType& n, const OrdinalType& nrhs, ScalarType* A, const OrdinalType& lda, ScalarType* AF, const OrdinalType& ldaf, OrdinalType* IPIV, char* EQUED, ScalarType* R, ScalarType* C, ScalarType* B, const OrdinalType& ldb, ScalarType* X, const OrdinalType& ldx, ScalarType* rcond, ScalarType* FERR, ScalarType* BERR, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::SYTRD(const char& UPLO, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* D, ScalarType* E, ScalarType* TAU, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::GEHRD(const OrdinalType& n, const OrdinalType& ilo, const OrdinalType& ihi, ScalarType* A, const OrdinalType& lda, ScalarType* TAU, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::TRTRS(const char& UPLO, const char& TRANS, const char& DIAG, const OrdinalType& n, const OrdinalType& nrhs, const ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::TRTRI(const char& UPLO, const char& DIAG, const OrdinalType& n, const ScalarType* A, const OrdinalType& lda, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::SPEV(const char& JOBZ, const char& UPLO, const OrdinalType& n, ScalarType* AP, ScalarType* W, ScalarType* Z, const OrdinalType& ldz, ScalarType* WORK, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::SYEV(const char& JOBZ, const char& UPLO, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* W, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::SYGV(const OrdinalType& itype, const char& JOBZ, const char& UPLO, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, ScalarType* W, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::HEEV(const char& JOBZ, const char& UPLO, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, MagnitudeType* W, ScalarType* WORK, const OrdinalType& lwork, MagnitudeType* RWORK, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::HEGV(const OrdinalType& itype, const char& JOBZ, const char& UPLO, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, MagnitudeType* W, ScalarType* WORK, const OrdinalType& lwork, MagnitudeType* RWORK, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::STEQR(const char& COMPZ, const OrdinalType& n, MagnitudeType* D, MagnitudeType* E, ScalarType* Z, const OrdinalType& ldz, MagnitudeType* WORK, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::PTEQR(const char& COMPZ, const OrdinalType& n, MagnitudeType* D, MagnitudeType* E, ScalarType* Z, const OrdinalType& ldz, MagnitudeType* WORK, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::HSEQR(const char& JOB, const char& COMPZ, const OrdinalType& n, const OrdinalType& ilo, const OrdinalType& ihi, ScalarType* H, const OrdinalType& ldh, ScalarType* WR, ScalarType* WI, ScalarType* Z, const OrdinalType& ldz, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::GEES(const char& JOBVS, const char& SORT, OrdinalType& (*ptr2func)(ScalarType*, ScalarType*), const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* sdim, ScalarType* WR, ScalarType* WI, ScalarType* VS, const OrdinalType& ldvs, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* BWORK, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::GEES(const char& JOBVS, const char& SORT, OrdinalType& (*ptr2func)(ScalarType*), const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* sdim, ScalarType* W, ScalarType* VS, const OrdinalType& ldvs, ScalarType* WORK, const OrdinalType& lwork, MagnitudeType *RWORK, OrdinalType* BWORK, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::GEES(const char& JOBVS, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* sdim, MagnitudeType* WR, MagnitudeType* WI, ScalarType* VS, const OrdinalType& ldvs, ScalarType* WORK, const OrdinalType& lwork, MagnitudeType *RWORK, OrdinalType* BWORK, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::GEEV(const char& JOBVL, const char& JOBVR, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, MagnitudeType* WR, MagnitudeType* WI, ScalarType* VL, const OrdinalType& ldvl, ScalarType* VR, const OrdinalType& ldvr, ScalarType* WORK, const OrdinalType& lwork, MagnitudeType* rwork, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::GEEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* WR, ScalarType* WI, ScalarType* VL, const OrdinalType& ldvl, ScalarType* VR, const OrdinalType& ldvr, OrdinalType* ilo, OrdinalType* ihi, MagnitudeType* SCALE, MagnitudeType* abnrm, MagnitudeType* RCONDE, MagnitudeType* RCONDV, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* IWORK, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::GESVD(const char& JOBU, const char& JOBVT, const OrdinalType& m, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, MagnitudeType* S, ScalarType* U, const OrdinalType& ldu, ScalarType* V, const OrdinalType& ldv, ScalarType* WORK, const OrdinalType& lwork, MagnitudeType* RWORK, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::GGEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, MagnitudeType* ALPHAR, MagnitudeType* ALPHAI, ScalarType* BETA, ScalarType* VL, const OrdinalType& ldvl, ScalarType* VR, const OrdinalType& ldvr, OrdinalType* ilo, OrdinalType* ihi, MagnitudeType* lscale, MagnitudeType* rscale, MagnitudeType* abnrm, MagnitudeType* bbnrm, MagnitudeType* RCONDE, MagnitudeType* RCONDV, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* IWORK, OrdinalType* BWORK, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::GGEV(const char& JOBVL, const char& JOBVR, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, MagnitudeType *ALPHAR, MagnitudeType *ALPHAI, ScalarType* BETA, ScalarType* VL, const OrdinalType& ldvl, ScalarType* VR, const OrdinalType& ldvr, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::TRSEN(const char& JOB, const char& COMPQ, const OrdinalType* SELECT, const OrdinalType& n, ScalarType* T, const OrdinalType& ldt, ScalarType* Q, const OrdinalType& ldq, MagnitudeType *WR, MagnitudeType *WI, OrdinalType* M, ScalarType* S, MagnitudeType *SEP, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* IWORK, const OrdinalType& liwork, OrdinalType* info ) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType,ScalarType>::TGSEN(const OrdinalType& ijob, const OrdinalType& wantq, const OrdinalType& wantz, const OrdinalType* SELECT, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, MagnitudeType *ALPHAR, MagnitudeType *ALPHAI, MagnitudeType *BETA, ScalarType* Q, const OrdinalType& ldq, ScalarType* Z, const OrdinalType& ldz, OrdinalType* M, MagnitudeType *PL, MagnitudeType *PR, MagnitudeType *DIF, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* IWORK, const OrdinalType& liwork, OrdinalType* info ) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::GGES(const char& JOBVL, const char& JOBVR, const char& SORT, OrdinalType& (*ptr2func)(ScalarType*, ScalarType*, ScalarType*), const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, OrdinalType* sdim, MagnitudeType* ALPHAR, MagnitudeType* ALPHAI, MagnitudeType* BETA, ScalarType* VL, const OrdinalType& ldvl, ScalarType* VR, const OrdinalType& ldvr, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* BWORK, OrdinalType* info ) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::ORMQR(const char& SIDE, const char& TRANS, const OrdinalType& m, const OrdinalType& n, const OrdinalType& k, ScalarType* A, const OrdinalType& lda, const ScalarType* TAU, ScalarType* C, const OrdinalType& ldc, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::ORM2R(const char& SIDE, const char& TRANS, const OrdinalType& m, const OrdinalType& n, const OrdinalType& k, const ScalarType A[], const OrdinalType& lda, const ScalarType TAU[], ScalarType C[], const OrdinalType& ldc, ScalarType WORK[], OrdinalType* const info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::UNMQR(const char& SIDE, const char& TRANS, const OrdinalType& m, const OrdinalType& n, const OrdinalType& k, ScalarType* A, const OrdinalType& lda, const ScalarType* TAU, ScalarType* C, const OrdinalType& ldc, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::UNM2R(const char& SIDE, const char& TRANS, const OrdinalType& M, const OrdinalType& N, const OrdinalType& K, const ScalarType A[], const OrdinalType& LDA, const ScalarType TAU[], ScalarType C[], const OrdinalType& LDC, ScalarType WORK[], OrdinalType* const INFO) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::ORGQR(const OrdinalType& m, const OrdinalType& n, const OrdinalType& k, ScalarType* A, const OrdinalType& lda, const ScalarType* TAU, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::UNGQR(const OrdinalType& m, const OrdinalType& n, const OrdinalType& k, ScalarType* A, const OrdinalType& lda, const ScalarType* TAU, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::ORGHR(const OrdinalType& n, const OrdinalType& ilo, const OrdinalType& ihi, ScalarType* A, const OrdinalType& lda, const ScalarType* TAU, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::ORMHR(const char& SIDE, const char& TRANS, const OrdinalType& m, const OrdinalType& n, const OrdinalType& ilo, const OrdinalType& ihi, const ScalarType* A, const OrdinalType& lda, const ScalarType* TAU, ScalarType* C, const OrdinalType& ldc, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::TREVC(const char& SIDE, const char& HOWMNY, OrdinalType* select, const OrdinalType& n, const ScalarType* T, const OrdinalType& ldt, ScalarType* VL, const OrdinalType& ldvl, ScalarType* VR, const OrdinalType& ldvr, const OrdinalType& mm, OrdinalType* m, ScalarType* WORK, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::TREVC(const char& SIDE, const OrdinalType& n, const ScalarType* T, const OrdinalType& ldt, ScalarType* VL, const OrdinalType& ldvl, ScalarType* VR, const OrdinalType& ldvr, const OrdinalType& mm, OrdinalType* m, ScalarType* WORK, MagnitudeType* RWORK, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::TREXC(const char& COMPQ, const OrdinalType& n, ScalarType* T, const OrdinalType& ldt, ScalarType* Q, const OrdinalType& ldq, OrdinalType* ifst, OrdinalType* ilst, ScalarType* WORK, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::TGEVC(const char& SIDE, const char& HOWMNY, const OrdinalType* SELECT, const OrdinalType& n, ScalarType* S, const OrdinalType& lds, ScalarType* P, const OrdinalType& ldp, ScalarType* VL, const OrdinalType& ldvl, ScalarType* VR, const OrdinalType& ldvr, const OrdinalType& mm, OrdinalType* M, ScalarType* WORK, OrdinalType* info) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
 
  template<typename OrdinalType, typename ScalarType>
  ScalarType LAPACK<OrdinalType, ScalarType>::LAMCH(const char& CMACH) const
  {
    return UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  OrdinalType LAPACK<OrdinalType, ScalarType>::ILAENV( const OrdinalType& ispec, const std::string& NAME, const std::string& OPTS, const OrdinalType& N1, const OrdinalType& N2, const OrdinalType& N3, const OrdinalType& N4 ) const
  {
    return UndefinedLAPACKRoutine<OrdinalType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  ScalarType LAPACK<OrdinalType, ScalarType>::LAPY2(const ScalarType& x, const ScalarType& y) const
  {
    return UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::LARTG( const ScalarType& f, const ScalarType& g, MagnitudeType* c, ScalarType* s, ScalarType* r ) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::LARFG( const OrdinalType& n, ScalarType* alpha, ScalarType* x, const OrdinalType& incx, ScalarType* tau ) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::GEBAL( const char& JOBZ, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* ilo, OrdinalType* ihi, MagnitudeType* scale, OrdinalType* info ) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::GEBAK( const char& JOBZ, const char& SIDE, const OrdinalType& n, const OrdinalType& ilo, const OrdinalType& ihi, const MagnitudeType* scale, const OrdinalType& m, ScalarType* V, const OrdinalType& ldv, OrdinalType* info ) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  ScalarType LAPACK<OrdinalType, ScalarType>::LARND( const OrdinalType& idist, OrdinalType* seed ) const
  {
    return UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  template<typename OrdinalType, typename ScalarType>
  void LAPACK<OrdinalType, ScalarType>::LARNV( const OrdinalType& idist, OrdinalType* seed, const OrdinalType& n, ScalarType* v ) const
  {
    UndefinedLAPACKRoutine<ScalarType>::notDefined();
  }
 
  // END GENERAL TEMPLATE IMPLEMENTATION //
 
#ifndef DOXYGEN_SHOULD_SKIP_THIS
 
  // BEGIN INT, FLOAT SPECIALIZATION DECLARATION //
 
  template<>
  class TEUCHOSNUMERICS_LIB_DLL_EXPORT LAPACK<int, float>
  {
  public:
    inline LAPACK(void) {}
    inline LAPACK(const LAPACK<int, float>& /*lapack*/) {}
    inline virtual ~LAPACK(void) {}
 
    // Symmetric positive definite linear system routines
    void POTRF(const char& UPLO, const int& n, float* A, const int& lda, int*  info) const;
    void POTRS(const char& UPLO, const int& n, const int& nrhs, const float* A, const int& lda, float* B, const int& ldb, int* info) const;
    void PTTRF(const int& n, float* d, float* e, int* info) const;
    void PTTRS(const int& n, const int& nrhs, const float* d, const float* e, float* B, const int& ldb, int* info) const;
    void POTRI(const char& UPLO, const int& n, float* A, const int& lda, int* info) const;
    void POCON(const char& UPLO, const int& n, const float* A, const int& lda, const float& anorm, float* rcond, float* WORK, int* IWORK, int* info) const;
    void POSV(const char& UPLO, const int& n, const int& nrhs, float* A, const int& lda, float* B, const int& ldb, int* info) const;
    void POEQU(const int& n, const float* A, const int& lda, float* S, float* scond, float* amax, int* info) const;
    void PORFS(const char& UPLO, const int& n, const int& nrhs, float* A, const int& lda, const float* AF, const int& ldaf, const float* B, const int& ldb, float* X, const int& ldx, float* FERR, float* BERR, float* WORK, int* IWORK, int* info) const;
 
    void POSVX(const char& FACT, const char& UPLO, const int& n, const int& nrhs, float* A, const int& lda, float* AF, const int& ldaf, char* EQUED, float* S, float* B, const int& ldb, float* X, const int& ldx, float* rcond, float* FERR, float* BERR, float* WORK, int* IWORK, int* info) const;
 
    // General Linear System Routines
    void GELS(const char& TRANS, const int& m, const int& n, const int& nrhs, float* A, const int& lda, float* B, const int& ldb, float* WORK, const int& lwork, int* info) const;
    void GELSS(const int& m, const int& n, const int& nrhs, float* A, const int& lda, float* B, const int& ldb, float* S, const float& rcond, int* rank, float* WORK, const int& lwork, float* RWORK, int* info) const;
    void GELSS(const int& m, const int& n, const int& nrhs, float* A, const int& lda, float* B, const int& ldb, float* S, const float& rcond, int* rank, float* WORK, const int& lwork, int* info) const;
    void GGLSE(const int& m, const int& n, const int& p, float* A, const int& lda, float* B, const int& ldb, float* C, float* D, float* X, float* WORK, const int& lwork, int* info) const;
    void GEQRF(const int& m, const int& n, float* A, const int& lda, float* TAU, float* WORK, const int& lwork, int* info) const;
    void GEQR2(const int& m, const int& n, float A[], const int& lda, float TAU[], float WORK[], int* const info) const;
 
    void GETRF(const int& m, const int& n, float* A, const int& lda, int* IPIV, int* info) const;
    void GETRS(const char& TRANS, const int& n, const int& nrhs, const float* A, const int& lda, const int* IPIV, float* B, const int& ldb, int* info) const;
    void LASCL(const char& TYPE, const int& kl, const int& ku, const float& cfrom, const float& cto, const int& m, const int& n, float* A, const int& lda, int* info) const;
 
    void
    GEQP3 (const int& m,
           const int& n,
           float* A,
           const int& lda,
           int* jpvt,
           float* TAU,
           float* WORK,
           const int& lwork,
           float* RWORK,
           int* info) const;
 
    void LASWP (const int& N,
                float A[],
                const int& LDA,
                const int& K1,
                const int& K2,
                const int IPIV[],
                const int& INCX) const;
 
    void GBTRF(const int& m, const int& n, const int& kl, const int& ku, float* A, const int& lda, int* IPIV, int* info) const;
    void GBTRS(const char& TRANS, const int& n, const int& kl, const int& ku, const int& nrhs, const float* A, const int& lda, const int* IPIV, float* B, const int& ldb, int* info) const;
    void GTTRF(const int& n, float* dl, float* d, float* du, float* du2, int* IPIV, int* info) const;
    void GTTRS(const char& TRANS, const int& n, const int& nrhs, const float* dl, const float* d, const float* du, const float* du2, const int* IPIV, float* B, const int& ldb, int* info) const;
 
 
    void GETRI(const int& n, float* A, const int& lda, const int* IPIV, float* WORK, const int& lwork, int* info) const;
    void LATRS (const char& UPLO, const char& TRANS, const char& DIAG, const char& NORMIN, const int& N, float* A, const int& LDA, float* X, float* SCALE, float* CNORM, int* INFO) const;
    void GECON(const char& NORM, const int& n, const float* A, const int& lda, const float& anorm, float* rcond, float* WORK, int* IWORK, int* info) const;
    void GBCON(const char& NORM, const int& n, const int& kl, const int& ku, const float* A, const int& lda, int* IPIV, const float& anorm, float* rcond, float* WORK, int* IWORK, int* info) const;
    float LANGB(const char& NORM, const int& n, const int& kl, const int& ku, const float* A, const int& lda, float* WORK) const;
    void GESV(const int& n, const int& nrhs, float* A, const int& lda, int* IPIV, float* B, const int& ldb, int* info) const;
    void GEEQU(const int& m, const int& n, const float* A, const int& lda, float* R, float* C, float* rowcond, float* colcond, float* amax, int* info) const;
    void GERFS(const char& TRANS, const int& n, const int& nrhs, const float* A, const int& lda, const float* AF, const int& ldaf, const int* IPIV, const float* B, const int& ldb, float* X, const int& ldx, float* FERR, float* BERR, float* WORK, int* IWORK, int* info) const;
    void GBEQU(const int& m, const int& n, const int& kl, const int& ku, const float* A, const int& lda, float* R, float* C, float* rowcond, float* colcond, float* amax, int* info) const;
    void GBRFS(const char& TRANS, const int& n, const int& kl, const int& ku, const int& nrhs, const float* A, const int& lda, const float* AF, const int& ldaf, const int* IPIV, const float* B, const int& ldb, float* X, const int& ldx, float* FERR, float* BERR, float* WORK, int* IWORK, int* info) const;
 
    void GESVX(const char& FACT, const char& TRANS, const int& n, const int& nrhs, float* A, const int& lda, float* AF, const int& ldaf, int* IPIV, char* EQUED, float* R, float* C, float* B, const int& ldb, float* X, const int& ldx, float* rcond, float* FERR, float* BERR, float* WORK, int* IWORK, int* info) const;
 
    void SYTRD(const char& UPLO, const int& n, float* A, const int& lda, float* D, float* E, float* TAU, float* WORK, const int& lwork, int* info) const;
    void GEHRD(const int& n, const int& ilo, const int& ihi, float* A, const int& lda, float* TAU, float* WORK, const int& lwork, int* info) const;
    void TRTRS(const char& UPLO, const char& TRANS, const char& DIAG, const int& n, const int& nrhs, const float* A, const int& lda, float* B, const int& ldb, int* info) const;
    void TRTRI(const char& UPLO, const char& DIAG, const int& n, const float* A, const int& lda, int* info) const;
 
    // Symmetric eigenvalue routines.
    void STEQR(const char& COMPZ, const int& n, float* D, float* E, float* Z, const int& ldz, float* WORK, int* info) const;
    void PTEQR(const char& COMPZ, const int& n, float* D, float* E, float* Z, const int& ldz, float* WORK, int* info) const;
    void SPEV(const char& JOBZ, const char& UPLO, const int& n, float* AP, float* W, float* Z, const int& ldz, float* WORK, int* info) const;
    void SYEV(const char& JOBZ, const char& UPLO, const int& n, float* A, const int& lda, float* W, float* WORK, const int& lwork, int* info) const;
    void SYGV(const int& itype, const char& JOBZ, const char& UPLO, const int& n, float* A, const int& lda, float* B, const int& ldb, float* W, float* WORK, const int& lwork, int* info) const;
    void HEEV(const char& JOBZ, const char& UPLO, const int& n, float* A, const int& lda, float* W, float* WORK, const int& lwork, float* RWORK, int* info) const;
    void HEGV(const int& itype, const char& JOBZ, const char& UPLO, const int& n, float* A, const int& lda, float* B, const int& ldb, float* W, float* WORK, const int& lwork, float* RWORK, int* info) const;
 
    // Non-Hermitian eigenvalue routines.
    void HSEQR(const char& JOB, const char& COMPZ, const int& n, const int& ilo, const int& ihi, float* H, const int& ldh, float* WR, float* WI, float* Z, const int& ldz, float* WORK, const int& lwork, int* info) const;
    void GEES(const char& JOBVS, const char& SORT, int (*ptr2func)(float*, float*), const int& n, float* A, const int& lda, int* sdim, float* WR, float* WI, float* VS, const int& ldvs, float* WORK, const int& lwork, int* BWORK, int* info) const;
    void GEES(const char& JOBVS, const int& n, float* A, const int& lda, int* sdim, float* WR, float* WI, float* VS, const int& ldvs, float* WORK, const int& lwork, float* RWORK, int* BWORK, int* info) const;
 
    void GEEV(const char& JOBVL, const char& JOBVR, const int& n, float* A, const int& lda, float* WR, float* WI, float* VL, const int& ldvl, float* VR, const int& ldvr, float* WORK, const int& lwork, int* info) const;
    void GEEV(const char& JOBVL, const char& JOBVR, const int& n, float* A, const int& lda, float* WR, float* WI, float* VL, const int& ldvl, float* VR, const int& ldvr, float* WORK, const int& lwork, float* rwork, int* info) const;
 
    void GEEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const int& n, float* A, const int& lda, float* WR, float* WI, float* VL, const int& ldvl, float* VR, const int& ldvr, int* ilo, int* ihi, float* SCALE, float* abnrm, float* RCONDE, float* RCONDV, float* WORK, const int& lwork, int* IWORK, int* info) const;
    void GGEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const int& n, float* A, const int& lda, float* B, const int& ldb, float* ALPHAR, float* ALPHAI, float* BETA, float* VL, const int& ldvl, float* VR, const int& ldvr, int* ilo, int* ihi, float* lscale, float* rscale, float* abnrm, float* bbnrm, float* RCONDE, float* RCONDV, float* WORK, const int& lwork, int* IWORK, int* BWORK, int* info) const;
    void GGEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const int& n, float* A, const int& lda, float* B, const int& ldb, float* ALPHAR, float* ALPHAI, float* BETA, float* VL, const int& ldvl, float* VR, const int& ldvr, int* ilo, int* ihi, float* lscale, float* rscale, float* abnrm, float* bbnrm, float* RCONDE, float* RCONDV, float* WORK, const int& lwork, float* rwork, int* IWORK, int* BWORK, int* info) const;
    void GGEV(const char& JOBVL, const char& JOBVR, const int& n, float* A, const int& lda, float* B, const int& ldb, float* ALPHAR, float* ALPHAI, float* BETA, float* VL, const int& ldvl, float* VR, const int& ldvr, float* WORK, const int& lwork, int* info) const;
    void TRSEN(const char& JOB, const char& COMPQ, const int* SELECT, const int& n, float* T, const int& ldt, float* Q, const int& ldq, float* WR, float* WI, int* M, float* S, float* SEP, float* WORK, const int& lwork, int* IWORK, const int& liwork, int* info ) const;
    void TGSEN(const int& ijob, const int& wantq, const int& wantz, const int* SELECT, const int& n, float* A, const int& lda, float* B, const int& ldb, float* ALPHAR, float* ALPHAI, float* BETA, float* Q, const int& ldq, float* Z, const int& ldz, int* M, float* PL, float* PR, float* DIF, float* WORK, const int& lwork, int* IWORK, const int& liwork, int* info ) const;
    void GGES(const char& JOBVL, const char& JOBVR, const char& SORT, int (*ptr2func)(float*, float*, float*), const int& n, float* A, const int& lda, float* B, const int& ldb, int* sdim, float* ALPHAR, float* ALPHAI, float* BETA, float* VL, const int& ldvl, float* VR, const int& ldvr, float* WORK, const int& lwork, int* bwork, int* info ) const;
 
    // SVD routine
    void GESVD(const char& JOBU, const char& JOBVT, const int& m, const int& n, float* A, const int& lda, float* S, float* U, const int& ldu, float* V, const int& ldv, float* WORK, const int& lwork, float* RWORK, int* info) const;
 
    // Orthogonal matrix routines.
    void ORMQR(const char& SIDE, const char& TRANS, const int& m, const int& n, const int& k, float* A, const int& lda, const float* TAU, float* C, const int& ldc, float* WORK, const int& lwork, int* info) const;
    void ORM2R(const char& SIDE, const char& TRANS, const int& m, const int& n, const int& k, const float A[], const int& lda, const float TAU[], float C[], const int& ldc, float WORK[], int* const info) const;
    void UNMQR(const char& SIDE, const char& TRANS, const int& m, const int& n, const int& k, float* A, const int& lda, const float* TAU, float* C, const int& ldc, float* WORK, const int& lwork, int* info) const;
    void UNM2R(const char& SIDE, const char& TRANS, const int& M, const int& N, const int& K, const float A[], const int& LDA, const float TAU[], float C[], const int& LDC, float WORK[], int* const INFO) const;
    void ORGQR(const int& m, const int& n, const int& k, float* A, const int& lda, const float* TAU, float* WORK, const int& lwork, int* info) const;
    void UNGQR(const int& m, const int& n, const int& k, float* A, const int& lda, const float* TAU, float* WORK, const int& lwork, int* info) const;
    void ORGHR(const int& n, const int& ilo, const int& ihi, float* A, const int& lda, const float* TAU, float* WORK, const int& lwork, int* info) const;
    void ORMHR(const char& SIDE, const char& TRANS, const int& m, const int& n, const int& ilo, const int& ihi, const float* A, const int& lda, const float* TAU, float* C, const int& ldc, float* WORK, const int& lwork, int* info) const;
 
    // Triangular matrix routines.
    void TREVC(const char& SIDE, const char& HOWMNY, int* select, const int& n, const float* T, const int& ldt, float* VL, const int& ldvl, float* VR, const int& ldvr, const int& mm, int* m, float* WORK, int* info) const;
    void TREVC(const char& SIDE, const int& n, const float* T, const int& ldt, float* VL, const int& ldvl, float* VR, const int& ldvr, const int& mm, int* m, float* WORK, float* RWORK, int* info) const;
 
    void TREXC(const char& COMPQ, const int& n, float* T, const int& ldt, float* Q, const int& ldq, int* ifst, int* ilst, float* WORK, int* info) const;
 
    void TGEVC(const char& SIDE, const char& HOWMNY, const int* SELECT, const int& n, float* S, const int& lds, float* P, const int& ldp, float* VL, const int& ldvl, float* VR, const int& ldvr, const int& mm, int* M, float* WORK, int* info) const;
 
    // Rotation/reflection generators
    void LARTG( const float& f, const float& g, float* c, float* s, float* r ) const;
    void LARFG( const int& n, float* alpha, float* x, const int& incx, float* tau ) const;
 
    // Matrix balancing routines.
 
    void GEBAL(const char& JOBZ, const int& n, float* A, const int& lda, int* ilo, int* ihi, float* scale, int* info) const;
 
    void GEBAK(const char& JOBZ, const char& SIDE, const int& n, const int& ilo, const int& ihi, const float* scale, const int& m, float* V, const int& ldv, int* info) const;
 
    // Random number generators
    float LARND( const int& idist, int* seed ) const;
    void LARNV( const int& idist, int* seed, const int& n, float* v ) const;
 
    // Machine characteristics.
    float LAMCH(const char& CMACH) const;
    int ILAENV( const int& ispec, const std::string& NAME, const std::string& OPTS, const int& N1 = -1, const int& N2 = -1, const int& N3 = -1, const int& N4 = -1 ) const;
 
    // Miscellaneous routines.
    float LAPY2(const float& x, const float& y) const;
 
  };
 
  // END INT, FLOAT SPECIALIZATION DECLARATION //
 
  // BEGIN INT, DOUBLE SPECIALIZATION DECLARATION //
 
  template<>
  class TEUCHOSNUMERICS_LIB_DLL_EXPORT LAPACK<int, double>
  {
  public:
    inline LAPACK(void) {}
    inline LAPACK(const LAPACK<int, double>& /*lapack*/) {}
    inline virtual ~LAPACK(void) {}
 
    // Symmetric positive definite linear system routines
    void PTTRF(const int& n, double* d, double* e, int* info) const;
    void PTTRS(const int& n, const int& nrhs, const double* d, const double* e, double* B, const int& ldb, int* info) const;
    void POTRF(const char& UPLO, const int& n, double* A, const int& lda, int* info) const;
    void POTRS(const char& UPLO, const int& n, const int& nrhs, const double* A, const int& lda, double* B, const int& ldb, int* info) const;
    void POTRI(const char& UPLO, const int& n, double* A, const int& lda, int* info) const;
    void POCON(const char& UPLO, const int& n, const double* A, const int& lda, const double& anorm, double* rcond, double* WORK, int* IWORK, int* info) const;
    void POSV(const char& UPLO, const int& n, const int& nrhs, double* A, const int& lda, double* B, const int& ldb, int* info) const;
    void POEQU(const int& n, const double* A, const int& lda, double* S, double* scond, double* amax, int* info) const;
    void PORFS(const char& UPLO, const int& n, const int& nrhs, double* A, const int& lda, const double* AF, const int& ldaf, const double* B, const int& ldb, double* X, const int& ldx, double* FERR, double* BERR, double* WORK, int* IWORK, int* info) const;
 
    void POSVX(const char& FACT, const char& UPLO, const int& n, const int& nrhs, double* A, const int& lda, double* AF, const int& ldaf, char* EQUED, double* S, double* B, const int& ldb, double* X, const int& ldx, double* rcond, double* FERR, double* BERR, double* WORK, int* IWORK, int* info) const;
 
    // General linear system routines
    void GELS(const char& TRANS, const int& m, const int& n, const int& nrhs, double* A, const int& lda, double* B, const int& ldb, double* WORK, const int& lwork, int* info) const;
    void GELSS(const int& m, const int& n, const int& nrhs, double* A, const int& lda, double* B, const int& ldb, double* S, const double& rcond, int* rank, double* WORK, const int& lwork, double* RWORK, int* info) const;
    void GELSS(const int& m, const int& n, const int& nrhs, double* A, const int& lda, double* B, const int& ldb, double* S, const double& rcond, int* rank, double* WORK, const int& lwork, int* info) const;
    void GGLSE(const int& m, const int& n, const int& p, double* A, const int& lda, double* B, const int& ldb, double* C, double* D, double* X, double* WORK, const int& lwork, int* info) const;
    void GEQRF(const int& m, const int& n, double* A, const int& lda, double* TAU, double* WORK, const int& lwork, int* info) const;
    void GEQR2(const int& m, const int& n, double A[], const int& lda, double TAU[], double WORK[], int* const info) const;
    void GETRF(const int& m, const int& n, double* A, const int& lda, int* IPIV, int* info) const;
    void GETRS(const char& TRANS, const int& n, const int& nrhs, const double* A, const int& lda, const int* IPIV, double* B, const int& ldb, int* info) const;
    void LASCL(const char& TYPE, const int& kl, const int& ku, const double& cfrom, const double& cto, const int& m, const int& n, double* A, const int& lda, int* info) const;
 
    void
    GEQP3 (const int& m,
           const int& n,
           double* A,
           const int& lda,
           int* jpvt,
           double* TAU,
           double* WORK,
           const int& lwork,
           double* RWORK,
           int* info) const;
 
    void LASWP (const int& N,
                double A[],
                const int& LDA,
                const int& K1,
                const int& K2,
                const int IPIV[],
                const int& INCX) const;
 
    void GBTRF(const int& m, const int& n, const int& kl, const int& ku, double* A, const int& lda, int* IPIV, int* info) const;
    void GBTRS(const char& TRANS, const int& n, const int& kl, const int& ku, const int& nrhs, const double* A, const int& lda, const int* IPIV, double* B, const int& ldb, int* info) const;
    void GTTRF(const int& n, double* dl, double* d, double* du, double* du2, int* IPIV, int* info) const;
    void GTTRS(const char& TRANS, const int& n, const int& nrhs, const double* dl, const double* d, const double* du, const double* du2, const int* IPIV, double* B, const int& ldb, int* info) const;
    void GETRI(const int& n, double* A, const int& lda, const int* IPIV, double* WORK, const int& lwork, int* info) const;
    void LATRS (const char& UPLO, const char& TRANS, const char& DIAG, const char& NORMIN, const int& N, double* A, const int& LDA, double* X, double* SCALE, double* CNORM, int* INFO) const;
    void GECON(const char& NORM, const int& n, const double* A, const int& lda, const double& anorm, double* rcond, double* WORK, int* IWORK, int* info) const;
    void GBCON(const char& NORM, const int& n, const int& kl, const int& ku, const double* A, const int& lda, int* IPIV, const double& anorm, double* rcond, double* WORK, int* IWORK, int* info) const;
    double LANGB(const char& NORM, const int& n, const int& kl, const int& ku, const double* A, const int& lda, double* WORK) const;
    void GESV(const int& n, const int& nrhs, double* A, const int& lda, int* IPIV, double* B, const int& ldb, int* info) const;
    void GEEQU(const int& m, const int& n, const double* A, const int& lda, double* R, double* C, double* rowcond, double* colcond, double* amax, int* info) const;
    void GERFS(const char& TRANS, const int& n, const int& nrhs, const double* A, const int& lda, const double* AF, const int& ldaf, const int* IPIV, const double* B, const int& ldb, double* X, const int& ldx, double* FERR, double* BERR, double* WORK, int* IWORK, int* info) const;
    void GBEQU(const int& m, const int& n, const int& kl, const int& ku, const double* A, const int& lda, double* R, double* C, double* rowcond, double* colcond, double* amax, int* info) const;
    void GBRFS(const char& TRANS, const int& n, const int& kl, const int& ku, const int& nrhs, const double* A, const int& lda, const double* AF, const int& ldaf, const int* IPIV, const double* B, const int& ldb, double* X, const int& ldx, double* FERR, double* BERR, double* WORK, int* IWORK, int* info) const;
 
    void GESVX(const char& FACT, const char& TRANS, const int& n, const int& nrhs, double* A, const int& lda, double* AF, const int& ldaf, int* IPIV, char* EQUED, double* R, double* C, double* B, const int& ldb, double* X, const int& ldx, double* rcond, double* FERR, double* BERR, double* WORK, int* IWORK, int* info) const;
 
    void SYTRD(const char& UPLO, const int& n, double* A, const int& lda, double* D, double* E, double* TAU, double* WORK, const int& lwork, int* info) const;
    void GEHRD(const int& n, const int& ilo, const int& ihi, double* A, const int& lda, double* TAU, double* WORK, const int& lwork, int* info) const;
    void TRTRS(const char& UPLO, const char& TRANS, const char& DIAG, const int& n, const int& nrhs, const double* A, const int& lda, double* B, const int& ldb, int* info) const;
    void TRTRI(const char& UPLO, const char& DIAG, const int& n, const double* A, const int& lda, int* info) const;
 
    // Symmetric eigenproblem routines.
    void STEQR(const char& COMPZ, const int& n, double* D, double* E, double* Z, const int& ldz, double* WORK, int* info) const;
    void PTEQR(const char& COMPZ, const int& n, double* D, double* E, double* Z, const int& ldz, double* WORK, int* info) const;
    void SPEV(const char& JOBZ, const char& UPLO, const int& n, double* AP, double* W, double* Z, const int& ldz, double* WORK, int* info) const;
    void SYEV(const char& JOBZ, const char& UPLO, const int& n, double* A, const int& lda, double* W, double* WORK, const int& lwork, int* info) const;
    void SYGV(const int& itype, const char& JOBZ, const char& UPLO, const int& n, double* A, const int& lda, double* B, const int& ldb, double* W, double* WORK, const int& lwork, int* info) const;
    void HEEV(const char& JOBZ, const char& UPLO, const int& n, double* A, const int& lda, double* W, double* WORK, const int& lwork, double* RWORK, int* info) const;
    void HEGV(const int& itype, const char& JOBZ, const char& UPLO, const int& n, double* A, const int& lda, double* B, const int& ldb, double* W, double* WORK, const int& lwork, double* RWORK, int* info) const;
 
    // Non-Hermitian eigenproblem routines.
    void HSEQR(const char& JOB, const char& COMPZ, const int& n, const int& ilo, const int& ihi, double* H, const int& ldh, double* WR, double* WI, double* Z, const int& ldz, double* WORK, const int& lwork, int* info) const;
    void GEES(const char& JOBVS, const char& SORT, int (*ptr2func)(double*, double*), const int& n, double* A, const int& lda, int* sdim, double* WR, double* WI, double* VS, const int& ldvs, double* WORK, const int& lwork, int* BWORK, int* info) const;
    void GEES(const char& JOBVS, const int& n, double* A, const int& lda, int* sdim, double* WR, double* WI, double* VS, const int& ldvs, double* WORK, const int& lwork, double* RWORK, int* BWORK, int* info) const;
 
    void GEEV(const char& JOBVL, const char& JOBVR, const int& n, double* A, const int& lda, double* WR, double* WI, double* VL, const int& ldvl, double* VR, const int& ldvr, double* WORK, const int& lwork, int* info) const;
    void GEEV(const char& JOBVL, const char& JOBVR, const int& n, double* A, const int& lda, double* WR, double* WI, double* VL, const int& ldvl, double* VR, const int& ldvr, double* WORK, const int& lwork, double* RWORK, int* info) const;
 
    void GEEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const int& n, double* A, const int& lda, double* WR, double* WI, double* VL, const int& ldvl, double* VR, const int& ldvr, int* ilo, int* ihi, double* SCALE, double* abnrm, double* RCONDE, double* RCONDV, double* WORK, const int& lwork, int* IWORK, int* info) const;
    void GGEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const int& n, double* A, const int& lda, double* B, const int& ldb, double* ALPHAR, double* ALPHAI, double* BETA, double* VL, const int& ldvl, double* VR, const int& ldvr, int* ilo, int* ihi, double* lscale, double* rscale, double* abnrm, double* bbnrm, double* RCONDE, double* RCONDV, double* WORK, const int& lwork, int* IWORK, int* BWORK, int* info) const;
    void GGEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const int& n, double* A, const int& lda, double* B, const int& ldb, double* ALPHAR, double* ALPHAI, double* BETA, double* VL, const int& ldvl, double* VR, const int& ldvr, int* ilo, int* ihi, double* lscale, double* rscale, double* abnrm, double* bbnrm, double* RCONDE, double* RCONDV, double* WORK, const int& lwork, double* rwork, int* IWORK, int* BWORK, int* info) const;
    void GGEV(const char& JOBVL, const char& JOBVR, const int& n, double* A, const int& lda, double* B, const int& ldb, double* ALPHAR, double* ALPHAI, double* BETA, double* VL, const int& ldvl, double* VR, const int& ldvr, double* WORK, const int& lwork, int* info) const;
    void TRSEN(const char& JOB, const char& COMPQ, const int* SELECT, const int& n, double* T, const int& ldt, double* Q, const int& ldq, double* WR, double* WI, int* M, double* S, double* SEP, double* WORK, const int& lwork, int* IWORK, const int& liwork, int* info ) const;
    void TGSEN(const int& ijob, const int& wantq, const int& wantz, const int* SELECT, const int& n, double* A, const int& lda, double* B, const int& ldb, double* ALPHAR, double* ALPHAI, double* BETA, double* Q, const int& ldq, double* Z, const int& ldz, int* M, double* PL, double* PR, double* DIF, double* WORK, const int& lwork, int* IWORK, const int& liwork, int* info ) const;
    void GGES(const char& JOBVL, const char& JOBVR, const char& SORT, int (*ptr2func)(double*, double*, double*), const int& n, double* A, const int& lda, double* B, const int& ldb, int* sdim, double* ALPHAR, double* ALPHAI, double* BETA, double* VL, const int& ldvl, double* VR, const int& ldvr, double* WORK, const int& lwork, int* bwork, int* info ) const;
 
 
    // SVD routine
    void GESVD(const char& JOBU, const char& JOBVT, const int& m, const int& n, double* A, const int& lda, double* S, double* U, const int& ldu, double* V, const int& ldv, double* WORK, const int& lwork, double* RWORK, int* info) const;
 
    // Orthogonal matrix routines.
    void ORMQR(const char& SIDE, const char& TRANS, const int& m, const int& n, const int& k, double* A, const int& lda, const double* TAU, double* C, const int& ldc, double* WORK, const int& lwork, int* info) const;
    void ORM2R(const char& SIDE, const char& TRANS, const int& m, const int& n, const int& k, const double A[], const int& lda, const double TAU[], double C[], const int& ldc, double WORK[], int* const info) const;
    void UNMQR(const char& SIDE, const char& TRANS, const int& m, const int& n, const int& k, double* A, const int& lda, const double* TAU, double* C, const int& ldc, double* WORK, const int& lwork, int* info) const;
    void UNM2R(const char& SIDE, const char& TRANS, const int& M, const int& N, const int& K, const double A[], const int& LDA, const double TAU[], double C[], const int& LDC, double WORK[], int* const INFO) const;
    void ORGQR(const int& m, const int& n, const int& k, double* A, const int& lda, const double* TAU, double* WORK, const int& lwork, int* info) const;
    void UNGQR(const int& m, const int& n, const int& k, double* A, const int& lda, const double* TAU, double* WORK, const int& lwork, int* info) const;
    void ORGHR(const int& n, const int& ilo, const int& ihi, double* A, const int& lda, const double* TAU, double* WORK, const int& lwork, int* info) const;
    void ORMHR(const char& SIDE, const char& TRANS, const int& m, const int& n, const int& ilo, const int& ihi, const double* A, const int& lda, const double* TAU, double* C, const int& ldc, double* WORK, const int& lwork, int* info) const;
 
    // Triangular matrix routines.
    void TREVC(const char& SIDE, const char& HOWMNY, int* select, const int& n, const double* T, const int& ldt, double* VL, const int& ldvl, double* VR, const int& ldvr, const int& mm, int* m, double* WORK, int* info) const;
    void TREVC(const char& SIDE, const int& n, const double* T, const int& ldt, double* VL, const int& ldvl, double* VR, const int& ldvr, const int& mm, int* m, double* WORK, double* RWORK, int* info) const;
 
    void TREXC(const char& COMPQ, const int& n, double* T, const int& ldt, double* Q, const int& ldq, int* ifst, int* ilst, double* WORK, int* info) const;
 
    void TGEVC(const char& SIDE, const char& HOWMNY, const int* SELECT, const int& n, double* S, const int& lds, double* P, const int& ldp, double* VL, const int& ldvl, double* VR, const int& ldvr, const int& mm, int* M, double* WORK, int* info) const;
 
    // Rotation/reflection generators
    void LARTG( const double& f, const double& g, double* c, double* s, double* r ) const;
    void LARFG( const int& n, double* alpha, double* x, const int& incx, double* tau ) const;
 
    // Matrix balancing routines.
 
    void GEBAL(const char& JOBZ, const int& n, double* A, const int& lda, int* ilo, int* ihi, double* scale, int* info) const;
 
    void GEBAK(const char& JOBZ, const char& SIDE, const int& n, const int& ilo, const int& ihi, const double* scale, const int& m, double* V, const int& ldv, int* info) const;
 
    // Random number generators
    double LARND( const int& idist, int* seed ) const;
    void LARNV( const int& idist, int* seed, const int& n, double* v ) const;
 
    // Machine characteristic routines.
    double LAMCH(const char& CMACH) const;
    int ILAENV( const int& ispec, const std::string& NAME, const std::string& OPTS, const int& N1 = -1, const int& N2 = -1, const int& N3 = -1, const int& N4 = -1 ) const;
 
    // Miscellaneous routines.
    double LAPY2(const double& x, const double& y) const;
 
  };
 
  // END INT, DOUBLE SPECIALIZATION DECLARATION //
 
#ifdef HAVE_TEUCHOS_COMPLEX
 
  // BEGIN INT, COMPLEX<FLOAT> SPECIALIZATION DECLARATION //
 
  template<>
  class TEUCHOSNUMERICS_LIB_DLL_EXPORT LAPACK<int, std::complex<float> >
  {
  public:
    inline LAPACK(void) {}
    inline LAPACK(const LAPACK<int, std::complex<float> >& lapack) {}
    inline virtual ~LAPACK(void) {}
 
    // Symmetric positive definite linear system routines
    void PTTRF(const int& n, std::complex<float>* d, std::complex<float>* e, int* info) const;
    void PTTRS(const int& n, const int& nrhs, const std::complex<float>* d, const std::complex<float>* e, std::complex<float>* B, const int& ldb, int* info) const;
    void POTRF(const char& UPLO, const int& n, std::complex<float>* A, const int& lda, int* info) const;
    void POTRS(const char& UPLO, const int& n, const int& nrhs, const std::complex<float>* A, const int& lda, std::complex<float>* B, const int& ldb, int* info) const;
    void POTRI(const char& UPLO, const int& n, std::complex<float>* A, const int& lda, int* info) const;
    void POCON(const char& UPLO, const int& n, const std::complex<float>* A, const int& lda, const float& anorm, float* rcond, std::complex<float>* WORK, float* rwork, int* info) const;
    void POSV(const char& UPLO, const int& n, const int& nrhs, std::complex<float>* A, const int& lda, std::complex<float>* B, const int& ldb, int* info) const;
    void POEQU(const int& n, const std::complex<float>* A, const int& lda, float* S, float* scond, float* amax, int* info) const;
    void PORFS(const char& UPLO, const int& n, const int& nrhs, std::complex<float>* A, const int& lda, const std::complex<float>* AF, const int& ldaf, const std::complex<float>* B, const int& ldb, std::complex<float>* X, const int& ldx, float* FERR, float* BERR, std::complex<float>* WORK, float* RWORK, int* info) const;
 
    void POSVX(const char& FACT, const char& UPLO, const int& n, const int& nrhs, std::complex<float>* A, const int& lda, std::complex<float>* AF, const int& ldaf, char* EQUED, float* S, std::complex<float>* B, const int& ldb, std::complex<float>* X, const int& ldx, float* rcond, float* FERR, float* BERR, std::complex<float>* WORK, float* RWORK, int* info) const;
 
    // General Linear System Routines
    void GELS(const char& TRANS, const int& m, const int& n, const int& nrhs, std::complex<float>* A, const int& lda, std::complex<float>* B, const int& ldb, std::complex<float>* WORK, const int& lwork, int* info) const;
    void GELSS(const int& m, const int& n, const int& nrhs, std::complex<float>* A, const int& lda, std::complex<float>* B, const int& ldb, float* S, const float& rcond, int* rank, std::complex<float>* WORK, const int& lwork, float* RWORK, int* info) const;
    void GEQRF(const int& m, const int& n, std::complex<float>* A, const int& lda, std::complex<float>* TAU, std::complex<float>* WORK, const int& lwork, int* info) const;
    void GEQR2(const int& m, const int& n, std::complex<float> A[], const int& lda, std::complex<float> TAU[], std::complex<float> WORK[], int* const info) const;
    void UNGQR(const int& m, const int& n, const int& k, std::complex<float>* A, const int& lda, const std::complex<float>* TAU, std::complex<float>* WORK, const int& lwork, int* info) const;
    void UNMQR(const char& SIDE, const char& TRANS, const int& m, const int& n, const int& k, std::complex<float>* A, const int& lda, const std::complex<float>* TAU, std::complex<float>* C, const int& ldc, std::complex<float>* WORK, const int& lwork, int* info) const;
    void UNM2R(const char& SIDE, const char& TRANS, const int& M, const int& N, const int& K, const std::complex<float> A[], const int& LDA, const std::complex<float> TAU[], std::complex<float> C[], const int& LDC, std::complex<float> WORK[], int* const INFO) const;
    void GETRF(const int& m, const int& n, std::complex<float>* A, const int& lda, int* IPIV, int* info) const;
    void GETRS(const char& TRANS, const int& n, const int& nrhs, const std::complex<float>* A, const int& lda, const int* IPIV, std::complex<float>* B, const int& ldb, int* info) const;
    void LASCL(const char& TYPE, const int& kl, const int& ku, const float& cfrom, const float& cto, const int& m, const int& n, std::complex<float>* A, const int& lda, int* info) const;
 
    void
    GEQP3 (const int& m,
           const int& n,
           std::complex<float>* A,
           const int& lda,
           int* jpvt,
           std::complex<float>* TAU,
           std::complex<float>* WORK,
           const int& lwork,
           float* RWORK,
           int* info) const;
 
    void LASWP (const int& N,
                std::complex<float> A[],
                const int& LDA,
                const int& K1,
                const int& K2,
                const int IPIV[],
                const int& INCX) const;
 
    void GBTRF(const int& m, const int& n, const int& kl, const int& ku, std::complex<float>* A, const int& lda, int* IPIV, int* info) const;
    void GBTRS(const char& TRANS, const int& n, const int& kl, const int& ku, const int& nrhs, const std::complex<float>* A, const int& lda, const int* IPIV, std::complex<float>* B, const int& ldb, int* info) const;
    void GTTRF(const int& n, std::complex<float>* dl, std::complex<float>* d, std::complex<float>* du, std::complex<float>* du2, int* IPIV, int* info) const;
    void GTTRS(const char& TRANS, const int& n, const int& nrhs, const std::complex<float>* dl, const std::complex<float>* d, const std::complex<float>* du, const std::complex<float>* du2, const int* IPIV, std::complex<float>* B, const int& ldb, int* info) const;
    void GETRI(const int& n, std::complex<float>* A, const int& lda, const int* IPIV, std::complex<float>* WORK, const int& lwork, int* info) const;
    void LATRS (const char& UPLO, const char& TRANS, const char& DIAG, const char& NORMIN, const int& N, std::complex<float>* A, const int& LDA, std::complex<float>* X, float* SCALE, float* CNORM, int* INFO) const;
    void GECON(const char& NORM, const int& n, const std::complex<float>* A, const int& lda, const float& anorm, float* rcond, std::complex<float>* WORK, float* RWORK, int* info) const;
    void GBCON(const char& NORM, const int& n, const int& kl, const int& ku, const std::complex<float>* A, const int& lda, int* IPIV, const float& anorm, float* rcond, std::complex<float>* WORK, float* RWORK, int* info) const;
    float LANGB(const char& NORM, const int& n, const int& kl, const int& ku, const std::complex<float>* A, const int& lda, float* WORK) const;
    void GESV(const int& n, const int& nrhs, std::complex<float>* A, const int& lda, int* IPIV, std::complex<float>* B, const int& ldb, int* info) const;
    void GEEQU(const int& m, const int& n, const std::complex<float>* A, const int& lda, float* R, float* C, float* rowcond, float* colcond, float* amax, int* info) const;
    void GERFS(const char& TRANS, const int& n, const int& nrhs, const std::complex<float>* A, const int& lda, const std::complex<float>* AF, const int& ldaf, const int* IPIV, const std::complex<float>* B, const int& ldb, std::complex<float>* X, const int& ldx, float* FERR, float* BERR, std::complex<float>* WORK, float* RWORK, int* info) const;
    void GBEQU(const int& m, const int& n, const int& kl, const int& ku, const std::complex<float>* A, const int& lda, float* R, float* C, float* rowcond, float* colcond, float* amax, int* info) const;
    void GBRFS(const char& TRANS, const int& n, const int& kl, const int& ku, const int& nrhs, const std::complex<float>* A, const int& lda, const std::complex<float>* AF, const int& ldaf, const int* IPIV, const std::complex<float>* B, const int& ldb, std::complex<float>* X, const int& ldx, float* FERR, float* BERR, std::complex<float>* WORK, float* RWORK, int* info) const;
 
    void GESVX(const char& FACT, const char& TRANS, const int& n, const int& nrhs, std::complex<float>* A, const int& lda, std::complex<float>* AF, const int& ldaf, int* IPIV, char* EQUED, float* R, float* C, std::complex<float>* B, const int& ldb, std::complex<float>* X, const int& ldx, float* rcond, float* FERR, float* BERR, std::complex<float>* WORK, float* RWORK, int* info) const;
 
    void GEHRD(const int& n, const int& ilo, const int& ihi, std::complex<float>* A, const int& lda, std::complex<float>* TAU, std::complex<float>* WORK, const int& lwork, int* info) const;
    void TRTRS(const char& UPLO, const char& TRANS, const char& DIAG, const int& n, const int& nrhs, const std::complex<float>* A, const int& lda, std::complex<float>* B, const int& ldb, int* info) const;
    void TRTRI(const char& UPLO, const char& DIAG, const int& n, const std::complex<float>* A, const int& lda, int* info) const;
 
    // Symmetric eigenvalue routines.
    void STEQR(const char& COMPZ, const int& n, float* D, float* E, std::complex<float>* Z, const int& ldz, float* WORK, int* info) const;
    void PTEQR(const char& COMPZ, const int& n, float* D, float* E, std::complex<float>* Z, const int& ldz, float* WORK, int* info) const;
    void HEEV(const char& JOBZ, const char& UPLO, const int& n, std::complex<float>* A, const int& lda, float* W, std::complex<float>* WORK, const int& lwork, float* RWORK, int* info) const;
    void HEGV(const int& itype, const char& JOBZ, const char& UPLO, const int& n, std::complex<float>* A, const int& lda, std::complex<float>* B, const int& ldb, float* W, std::complex<float>* WORK, const int& lwork, float* RWORK, int* info) const;
 
    // Non-Hermitian eigenvalue routines.
    void HSEQR(const char& JOB, const char& COMPZ, const int& n, const int& ilo, const int& ihi, std::complex<float>* H, const int& ldh, std::complex<float>* W, std::complex<float>* Z, const int& ldz, std::complex<float>* WORK, const int& lwork, int* info) const;
    void GEES(const char& JOBVS, const char& SORT, int (*ptr2func)(std::complex<float>*), const int& n, std::complex<float>* A, const int& lda, int* sdim, std::complex<float>* W, std::complex<float>* VS, const int& ldvs, std::complex<float>* WORK, const int& lwork, float* RWORK, int* BWORK, int* info) const;
    void GEES(const char& JOBVS, const int& n, std::complex<float>* A, const int& lda, int* sdim, float* WR, float* WI, std::complex<float>* VS, const int& ldvs, std::complex<float>* WORK, const int& lwork, float* RWORK, int* BWORK, int* info) const;
 
    void GEEV(const char& JOBVL, const char& JOBVR, const int& n, std::complex<float>* A, const int& lda, std::complex<float>* W, std::complex<float>* VL, const int& ldvl, std::complex<float>* VR, const int& ldvr, std::complex<float>* WORK, const int& lwork, float* RWORK, int* info) const;
    void GEEV(const char& JOBVL, const char& JOBVR, const int& n, std::complex<float>* A, const int& lda, float* WR, float* WI, std::complex<float>* VL, const int& ldvl, std::complex<float>* VR, const int& ldvr, std::complex<float>* WORK, const int& lwork, float* RWORK, int* info) const;
 
    void GEEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const int& n, std::complex<float>* A, const int& lda, std::complex<float>* W, std::complex<float>* VL, const int& ldvl, std::complex<float>* VR, const int& ldvr, int* ilo, int* ihi, float* SCALE, float* abnrm, float* RCONDE, float* RCONDV, std::complex<float>* WORK, const int& lwork, float* RWORK, int* info) const;
 
    void GGEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const int& n, std::complex<float>* A, const int& lda, std::complex<float>* B, const int& ldb, std::complex<float>* ALPHA, std::complex<float>* BETA, std::complex<float>* VL, const int& ldvl, std::complex<float>* VR, const int& ldvr, int* ilo, int* ihi, float* lscale, float* rscale, float* abnrm, float* bbnrm, float* RCONDE, float* RCONDV, std::complex<float>* WORK, const int& lwork, float*  RWORK, int* IWORK, int* BWORK, int* info) const;
    void GGEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const int& n, std::complex<float>* A, const int& lda, std::complex<float>* B, const int& ldb, float* ALPHAR, float* ALPHAI, std::complex<float>* BETA, std::complex<float>* VL, const int& ldvl, std::complex<float>* VR, const int& ldvr, int* ilo, int* ihi, float* lscale, float* rscale, float* abnrm, float* bbnrm, float* RCONDE, float* RCONDV, std::complex<float>* WORK, const int& lwork, float*  RWORK, int* IWORK, int* BWORK, int* info) const;
    void GGEV(const char& JOBVL, const char& JOBVR, const int& n, std::complex<float> *A, const int& lda, std::complex<float> *B, const int& ldb, std::complex<float>* ALPHA, std::complex<float>* BETA, std::complex<float>* VL, const int& ldvl, std::complex<float>* VR, const int& ldvr, std::complex<float> *WORK, const int& lwork, float* RWORK, int* info) const;
 
    // SVD routine
    void GESVD(const char& JOBU, const char& JOBVT, const int& m, const int& n, std::complex<float>* A, const int& lda, float* S, std::complex<float>* U, const int& ldu, std::complex<float>* V, const int& ldv, std::complex<float>* WORK, const int& lwork, float* RWORK, int* info) const;
 
    // Triangular matrix routines.
    void TREVC(const char& SIDE, const char& HOWMNY, int* select, const int& n, const std::complex<float>* T, const int& ldt, std::complex<float>* VL, const int& ldvl, std::complex<float>* VR, const int& ldvr, const int& mm, int* m, std::complex<float>* WORK, float* RWORK, int* info) const;
    void TREVC(const char& SIDE, const int& n, const std::complex<float>* T, const int& ldt, std::complex<float>* VL, const int& ldvl, std::complex<float>* VR, const int& ldvr, const int& mm, int* m, std::complex<float>* WORK, float* RWORK, int* info) const;
 
    void TREXC(const char& COMPQ, const int& n, std::complex<float>* T, const int& ldt, std::complex<float>* Q, const int& ldq, int* ifst, int* ilst, std::complex<float>* WORK, int* info) const;
 
    // Rotation/reflection generators
    void LARTG( const std::complex<float> f, const std::complex<float> g, float* c, std::complex<float>* s, std::complex<float>* r ) const;
    void LARFG( const int& n, std::complex<float>* alpha, std::complex<float>* x, const int& incx, std::complex<float>* tau ) const;
 
    // Matrix balancing routines.
 
    void GEBAL(const char& JOBZ, const int& n, std::complex<float>* A, const int& lda, int* ilo, int* ihi, float* scale, int* info) const;
 
    void GEBAK(const char& JOBZ, const char& SIDE, const int& n, const int& ilo, const int& ihi, const float* scale, const int& m, std::complex<float>* V, const int& ldv, int* info) const;
 
    // Random number generators
    std::complex<float> LARND( const int& idist, int* seed ) const;
    void LARNV( const int& idist, int* seed, const int& n, std::complex<float>* v ) const;
 
    // Machine characteristics
    int ILAENV( const int& ispec, const std::string& NAME, const std::string& OPTS, const int& N1 = -1, const int& N2 = -1, const int& N3 = -1, const int& N4 = -1 ) const;
 
  };
 
  // END INT, COMPLEX<FLOAT> SPECIALIZATION DECLARATION //
 
  // BEGIN INT, COMPLEX<DOUBLE> SPECIALIZATION DECLARATION //
 
  template<>
  class TEUCHOSNUMERICS_LIB_DLL_EXPORT LAPACK<int, std::complex<double> >
  {
  public:
    inline LAPACK(void) {}
    inline LAPACK(const LAPACK<int, std::complex<double> >& lapack) {}
    inline virtual ~LAPACK(void) {}
 
    // Symmetric positive definite linear system routines
    void PTTRF(const int& n, std::complex<double>* d, std::complex<double>* e, int* info) const;
    void PTTRS(const int& n, const int& nrhs, const std::complex<double>* d, const std::complex<double>* e, std::complex<double>* B, const int& ldb, int* info) const;
    void POTRF(const char& UPLO, const int& n, std::complex<double>* A, const int& lda, int* info) const;
    void POTRS(const char& UPLO, const int& n, const int& nrhs, const std::complex<double>* A, const int& lda, std::complex<double>* B, const int& ldb, int* info) const;
    void POTRI(const char& UPLO, const int& n, std::complex<double>* A, const int& lda, int* info) const;
    void POCON(const char& UPLO, const int& n, const std::complex<double>* A, const int& lda, const double& anorm, double* rcond, std::complex<double>* WORK, double* RWORK, int* info) const;
    void POSV(const char& UPLO, const int& n, const int& nrhs, std::complex<double>* A, const int& lda, std::complex<double>* B, const int& ldb, int* info) const;
    void POEQU(const int& n, const std::complex<double>* A, const int& lda, double* S, double* scond, double* amax, int* info) const;
    void PORFS(const char& UPLO, const int& n, const int& nrhs, std::complex<double>* A, const int& lda, const std::complex<double>* AF, const int& ldaf, const std::complex<double>* B, const int& ldb, std::complex<double>* X, const int& ldx, double* FERR, double* BERR, std::complex<double>* WORK, double* RWORK, int* info) const;
 
    void POSVX(const char& FACT, const char& UPLO, const int& n, const int& nrhs, std::complex<double>* A, const int& lda, std::complex<double>* AF, const int& ldaf, char* EQUED, double* S, std::complex<double>* B, const int& ldb, std::complex<double>* X, const int& ldx, double* rcond, double* FERR, double* BERR, std::complex<double>* WORK, double* RWORK, int* info) const;
 
    // General Linear System Routines
    void GELS(const char& TRANS, const int& m, const int& n, const int& nrhs, std::complex<double>* A, const int& lda, std::complex<double>* B, const int& ldb, std::complex<double>* WORK, const int& lwork, int* info) const;
    void GELSS(const int& m, const int& n, const int& nrhs, std::complex<double>* A, const int& lda, std::complex<double>* B, const int& ldb, double* S, const double& rcond, int* rank, std::complex<double>* WORK, const int& lwork, double* RWORK, int* info) const;
    void GEQRF(const int& m, const int& n, std::complex<double>* A, const int& lda, std::complex<double>* TAU, std::complex<double>* WORK, const int& lwork, int* info) const;
    void GEQR2(const int& m, const int& n, std::complex<double> A[], const int& lda, std::complex<double> TAU[], std::complex<double> WORK[], int* const info) const;
    void UNGQR(const int& m, const int& n, const int& k, std::complex<double>* A, const int& lda, const std::complex<double>* TAU, std::complex<double>* WORK, const int& lwork, int* info) const;
    void UNMQR(const char& SIDE, const char& TRANS, const int& m, const int& n, const int& k, std::complex<double>* A, const int& lda, const std::complex<double>* TAU, std::complex<double>* C, const int& ldc, std::complex<double>* WORK, const int& lwork, int* info) const;
    void UNM2R(const char& SIDE, const char& TRANS, const int& M, const int& N, const int& K, const std::complex<double> A[], const int& LDA, const std::complex<double> TAU[], std::complex<double> C[], const int& LDC, std::complex<double> WORK[], int* const INFO) const;
 
    void GETRF(const int& m, const int& n, std::complex<double>* A, const int& lda, int* IPIV, int* info) const;
    void GETRS(const char& TRANS, const int& n, const int& nrhs, const std::complex<double>* A, const int& lda, const int* IPIV, std::complex<double>* B, const int& ldb, int* info) const;
    void LASCL(const char& TYPE, const int& kl, const int& ku, const double& cfrom, const double& cto, const int& m, const int& n, std::complex<double>* A, const int& lda, int* info) const;
 
    void
    GEQP3 (const int& m,
           const int& n,
           std::complex<double>* A,
           const int& lda,
           int* jpvt,
           std::complex<double>* TAU,
           std::complex<double>* WORK,
           const int& lwork,
           double* RWORK,
           int* info) const;
 
    void LASWP (const int& N,
                std::complex<double> A[],
                const int& LDA,
                const int& K1,
                const int& K2,
                const int IPIV[],
                const int& INCX) const;
 
    void GBTRF(const int& m, const int& n, const int& kl, const int& ku, std::complex<double>* A, const int& lda, int* IPIV, int* info) const;
    void GBTRS(const char& TRANS, const int& n, const int& kl, const int& ku, const int& nrhs, const std::complex<double>* A, const int& lda, const int* IPIV, std::complex<double>* B, const int& ldb, int* info) const;
    void GTTRF(const int& n, std::complex<double>* dl, std::complex<double>* d, std::complex<double>* du, std::complex<double>* du2, int* IPIV, int* info) const;
    void GTTRS(const char& TRANS, const int& n, const int& nrhs, const std::complex<double>* dl, const std::complex<double>* d, const std::complex<double>* du, const std::complex<double>* du2, const int* IPIV, std::complex<double>* B, const int& ldb, int* info) const;
    void GETRI(const int& n, std::complex<double>* A, const int& lda, const int* IPIV, std::complex<double>* WORK, const int& lwork, int* info) const;
    void LATRS (const char& UPLO, const char& TRANS, const char& DIAG, const char& NORMIN, const int& N, std::complex<double>* A, const int& LDA, std::complex<double>* X, double* SCALE, double* CNORM, int* INFO) const;
    void GECON(const char& NORM, const int& n, const std::complex<double>* A, const int& lda, const double& anorm, double* rcond, std::complex<double>* WORK, double* RWORK, int* info) const;
    void GBCON(const char& NORM, const int& n, const int& kl, const int& ku, const std::complex<double>* A, const int& lda, int* IPIV, const double& anorm, double* rcond, std::complex<double>* WORK, double* RWORK, int* info) const;
    double LANGB(const char& NORM, const int& n, const int& kl, const int& ku, const std::complex<double>* A, const int& lda, double* WORK) const;
    void GESV(const int& n, const int& nrhs, std::complex<double>* A, const int& lda, int* IPIV, std::complex<double>* B, const int& ldb, int* info) const;
    void GEEQU(const int& m, const int& n, const std::complex<double>* A, const int& lda, double* R, double* C, double* rowcond, double* colcond, double* amax, int* info) const;
    void GERFS(const char& TRANS, const int& n, const int& nrhs, const std::complex<double>* A, const int& lda, const std::complex<double>* AF, const int& ldaf, const int* IPIV, const std::complex<double>* B, const int& ldb, std::complex<double>* X, const int& ldx, double* FERR, double* BERR, std::complex<double>* WORK, double* RWORK, int* info) const;
    void GBEQU(const int& m, const int& n, const int& kl, const int& ku, const std::complex<double>* A, const int& lda, double* R, double* C, double* rowcond, double* colcond, double* amax, int* info) const;
    void GBRFS(const char& TRANS, const int& n, const int& kl, const int& ku, const int& nrhs, const std::complex<double>* A, const int& lda, const std::complex<double>* AF, const int& ldaf, const int* IPIV, const std::complex<double>* B, const int& ldb, std::complex<double>* X, const int& ldx, double* FERR, double* BERR, std::complex<double>* WORK, double* RWORK, int* info) const;
 
    void GESVX(const char& FACT, const char& TRANS, const int& n, const int& nrhs, std::complex<double>* A, const int& lda, std::complex<double>* AF, const int& ldaf, int* IPIV, char* EQUED, double* R, double* C, std::complex<double>* B, const int& ldb, std::complex<double>* X, const int& ldx, double* rcond, double* FERR, double* BERR, std::complex<double>* WORK, double* RWORK, int* info) const;
 
    void GEHRD(const int& n, const int& ilo, const int& ihi, std::complex<double>* A, const int& lda, std::complex<double>* TAU, std::complex<double>* WORK, const int& lwork, int* info) const;
    void TRTRS(const char& UPLO, const char& TRANS, const char& DIAG, const int& n, const int& nrhs, const std::complex<double>* A, const int& lda, std::complex<double>* B, const int& ldb, int* info) const;
    void TRTRI(const char& UPLO, const char& DIAG, const int& n, const std::complex<double>* A, const int& lda, int* info) const;
 
    // Symmetric eigenvalue routines.
    void STEQR(const char& COMPZ, const int& n, double* D, double* E, std::complex<double>* Z, const int& ldz, double* WORK, int* info) const;
    void PTEQR(const char& COMPZ, const int& n, double* D, double* E, std::complex<double>* Z, const int& ldz, double* WORK, int* info) const;
    void HEEV(const char& JOBZ, const char& UPLO, const int& n, std::complex<double>* A, const int& lda, double* W, std::complex<double>* WORK, const int& lwork, double* RWORK, int* info) const;
    void HEGV(const int& itype, const char& JOBZ, const char& UPLO, const int& n, std::complex<double>* A, const int& lda, std::complex<double>* B, const int& ldb, double* W, std::complex<double>* WORK, const int& lwork, double* RWORK, int* info) const;
 
    // Non-hermitian eigenvalue routines.
    void HSEQR(const char& JOB, const char& COMPZ, const int& n, const int& ilo, const int& ihi, std::complex<double>* H, const int& ldh, std::complex<double>* W, std::complex<double>* Z, const int& ldz, std::complex<double>* WORK, const int& lwork, int* info) const;
    void GEES(const char& JOBVS, const char& SORT, int (*ptr2func)(std::complex<double>*), const int& n, std::complex<double>* A, const int& lda, int* sdim, std::complex<double>* W, std::complex<double>* VS, const int& ldvs, std::complex<double>* WORK, const int& lwork, double* RWORK, int* BWORK, int* info) const;
    void GEES(const char& JOBVS, const int& n, std::complex<double>* A, const int& lda, int* sdim, double* WR, double* WI, std::complex<double>* VS, const int& ldvs, std::complex<double>* WORK, const int& lwork, double* RWORK, int* BWORK, int* info) const;
 
    void GEEV(const char& JOBVL, const char& JOBVR, const int& n, std::complex<double>* A, const int& lda, std::complex<double>* W, std::complex<double>* VL, const int& ldvl, std::complex<double>* VR, const int& ldvr, std::complex<double>* WORK, const int& lwork, double* RWORK, int* info) const;
    void GEEV(const char& JOBVL, const char& JOBVR, const int& n, std::complex<double>* A, const int& lda, double* WR, double* WI, std::complex<double>* VL, const int& ldvl, std::complex<double>* VR, const int& ldvr, std::complex<double>* WORK, const int& lwork, double* RWORK, int* info) const;
 
    void GEEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const int& n, std::complex<double>* A, const int& lda, std::complex<double>* W, std::complex<double>* VL, const int& ldvl, std::complex<double>* VR, const int& ldvr, int* ilo, int* ihi, double* SCALE, double* abnrm, double* RCONDE, double* RCONDV, std::complex<double>* WORK, const int& lwork, double* RWORK, int* info) const;
    void GGEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const int& n, std::complex<double>* A, const int& lda, std::complex<double>* B, const int& ldb, std::complex<double>* ALPHA, std::complex<double>* BETA, std::complex<double>* VL, const int& ldvl, std::complex<double>* VR, const int& ldvr, int* ilo, int* ihi, double* lscale, double* rscale, double* abnrm, double* bbnrm, double* RCONDE, double* RCONDV, std::complex<double>* work, const int& lwork, double* RWORK, int* IWORK, int* BWORK, int* info) const;
    void GGEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const int& n, std::complex<double>* A, const int& lda, std::complex<double>* B, const int& ldb, double* ALPHAR, double* ALPHAI, std::complex<double>* BETA, std::complex<double>* VL, const int& ldvl, std::complex<double>* VR, const int& ldvr, int* ilo, int* ihi, double* lscale, double* rscale, double* abnrm, double* bbnrm, double* RCONDE, double* RCONDV, std::complex<double>* work, const int& lwork, double* RWORK, int* IWORK, int* BWORK, int* info) const;
    void GGEV(const char& JOBVL, const char& JOBVR, const int& n, std::complex<double> *A, const int& lda, std::complex<double> *B, const int& ldb, std::complex<double>* ALPHA, std::complex<double>* BETA, std::complex<double>* VL, const int& ldvl, std::complex<double>*VR, const int& ldvr, std::complex<double> *WORK, const int& lwork, double* RWORK, int* info) const;
 
    // SVD routine
    void GESVD(const char& JOBU, const char& JOBVT, const int& m, const int& n, std::complex<double>* A, const int& lda, double* S, std::complex<double>* U, const int& ldu, std::complex<double>* V, const int& ldv, std::complex<double>* WORK, const int& lwork, double* RWORK, int* info) const;
 
    // Triangular matrix routines.
    void TREVC(const char& SIDE, const char& HOWMNY, int* select, const int& n, const std::complex<double>* T, const int& ldt, std::complex<double>* VL, const int& ldvl, std::complex<double>* VR, const int& ldvr, const int& mm, int* m, std::complex<double>* WORK, double* RWORK, int* info) const;
    void TREVC(const char& SIDE, const int& n, const std::complex<double>* T, const int& ldt, std::complex<double>* VL, const int& ldvl, std::complex<double>* VR, const int& ldvr, const int& mm, int* m, std::complex<double>* WORK, double* RWORK, int* info) const;
 
    void TREXC(const char& COMPQ, const int& n, std::complex<double>* T, const int& ldt, std::complex<double>* Q, const int& ldq, int* ifst, int* ilst, std::complex<double>* WORK, int* info) const;
 
    // Rotation/reflection generators
    void LARTG( const std::complex<double> f, const std::complex<double> g, double* c, std::complex<double>* s, std::complex<double>* r ) const;
    void LARFG( const int& n, std::complex<double>* alpha, std::complex<double>* x, const int& incx, std::complex<double>* tau ) const;
 
    // Matrix balancing routines.
 
    void GEBAL(const char& JOBZ, const int& n, std::complex<double>* A, const int& lda, int* ilo, int* ihi, double* scale, int* info) const;
 
    void GEBAK(const char& JOBZ, const char& SIDE, const int& n, const int& ilo, const int& ihi, const double* scale, const int& m, std::complex<double>* V, const int& ldv, int* info) const;
 
    // Random number generators
    std::complex<double> LARND( const int& idist, int* seed ) const;
    void LARNV( const int& idist, int* seed, const int& n, std::complex<double>* v ) const;
 
    // Machine characteristics
    int ILAENV( const int& ispec, const std::string& NAME, const std::string& OPTS, const int& N1 = -1, const int& N2 = -1, const int& N3 = -1, const int& N4 = -1 ) const;
 
  };
 
  // END INT, COMPLEX<DOUBLE> SPECIALIZATION DECLARATION //
 
#endif // HAVE_TEUCHOS_COMPLEX
 
#ifdef HAVE_TEUCHOSCORE_QUADMATH
 
  // BEGIN int, __float128 SPECIALIZATION DECLARATION //
 
  // mfh 18 Sep 2015: I had to write this specialization by hand,
  // since LAPACK does not provide it, so it is not complete.
  template<>
  class TEUCHOSNUMERICS_LIB_DLL_EXPORT LAPACK<int, __float128>
  {
  public:
    inline LAPACK(void) {}
    inline LAPACK(const LAPACK<int, __float128>& lapack) {}
    inline virtual ~LAPACK(void) {}
 
    void GEQRF(const int& m, const int& n, __float128* A, const int& lda, __float128* TAU, __float128* WORK, const int& lwork, int* info) const;
    void GEQR2(const int& m, const int& n, __float128 A[], const int& lda, __float128 TAU[], __float128 WORK[], int* const info) const;
    void GETRF(const int& m, const int& n, __float128* A, const int& lda, int* IPIV, int* info) const;
    void GETRS(const char& TRANS, const int& n, const int& nrhs, const __float128* A, const int& lda, const int* IPIV, __float128* B, const int& ldb, int* info) const;
    void GETRI(const int& n, __float128* A, const int& lda, const int* IPIV, __float128* WORK, const int& lwork, int* info) const;
    void LASWP (const int& N, __float128 A[], const int& LDA, const int& K1, const int& K2, const int IPIV[], const int& INCX) const;
 
    void ORM2R(const char& SIDE, const char& TRANS, const int& m, const int& n, const int& k, const __float128 A[], const int& lda, const __float128 TAU[], __float128 C[], const int& ldc, __float128 WORK[], int* const info) const;
    void ORGQR(const int& m, const int& n, const int& k, __float128* A, const int& lda, const __float128* TAU, __float128* WORK, const int& lwork, int* info) const;
    void UNGQR(const int& m, const int& n, const int& k, __float128* A, const int& lda, const __float128* TAU, __float128* WORK, const int& lwork, int* info) const;
 
    void LARFG( const int& n, __float128* alpha, __float128* x, const int& incx, __float128* tau ) const;
 
    __float128 LAPY2 (const __float128 x, const __float128 y) const;
    void LASCL (const char& TYPE, const int& kl, const int& ku, const __float128 cfrom, const __float128 cto, const int& m, const int& n, __float128* A, const int& lda, int* info) const;
 
    void GBTRF (const int& m, const int& n, const int& kl, const int& ku, __float128* A, const int& lda, int* IPIV, int* info) const;
    void GBTRS (const char& TRANS, const int& n, const int& kl, const int& ku, const int& nrhs, const __float128* A, const int& lda, const int* IPIV, __float128* B, const int& ldb, int* info) const;
  };
 
  // END int, __float128 SPECIALIZATION DECLARATION //
 
#endif // HAVE_TEUCHOSCORE_QUADMATH
 
#ifdef HAVE_TEUCHOS_LONG_DOUBLE
 
  // BEGIN int, long double SPECIALIZATION DECLARATION //
 
  // IKT 29 May 2021: I had to write this specialization by hand,
  // since LAPACK does not provide it, so it is not complete.
  template<>
  class TEUCHOSNUMERICS_LIB_DLL_EXPORT LAPACK<int, long double>
  {
  public:
    inline LAPACK(void) {}
    inline LAPACK(const LAPACK<int, long double>& lapack) {}
    inline virtual ~LAPACK(void) {}
 
    void GESV(const int& n, const int& nrhs, long double* A, const int& lda, int* IPIV, long double* B, const int& ldb, int* info) const; 
    void GTTRS(const char& TRANS, const int& n, const int& nrhs, const long double* dl, const long double* d, const long double* du, const long double* du2, const int* IPIV, long double* B, const int& ldb, int* info) const; 
    void GTTRF(const int& n, long double* dl, long double* d, long double* du, long double* du2, int* IPIV, int* info) const;
    void SYGV(const int& itype, const char& JOBZ, const char& UPLO, const int& n, long double* A, const int& lda, long double* B, const int& ldb, long double* W, long double* WORK, const int& lwork, int* info) const;
    void GEEV(const char& JOBVL, const char& JOBVR, const int& n, long double* A, const int& lda, long double* WR, long double* WI, long double* VL, const int& ldvl, long double* VR, const int& ldvr, long double* WORK, const int& lwork, int* info) const; 
    void GEEV(const char& JOBVL, const char& JOBVR, const int& n, long double* A, const int& lda, long double* WR, long double* WI, long double* VL, const int& ldvl, long double* VR, const int& ldvr, long double* WORK, const int& lwork, long double* /* RWORK */, int* info) const; 
    void GGEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const int& n, long double* A, const int& lda, long double* B, const int& ldb, long double* ALPHAR, long double* ALPHAI, long double* BETA, long double* VL, const int& ldvl, long double* VR, const int& ldvr, int* ilo, int* ihi, long double* lscale, long double* rscale, long double* abnrm, long double* bbnrm, long double* RCONDE, long double* RCONDV, long double* WORK, const int& lwork, int* IWORK, int* BWORK, int* info) const; 
    void GGEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const int& n, long double* A, const int& lda, long double* B, const int& ldb, long double* ALPHAR, long double* ALPHAI, long double* BETA, long double* VL, const int& ldvl, long double* VR, const int& ldvr, int* ilo, int* ihi, long double* lscale, long double* rscale, long double* abnrm, long double* bbnrm, long double* RCONDE, long double* RCONDV, long double* WORK, const int& lwork, long double* /* RWORK */, int* IWORK, int* BWORK, int* info) const; 
    void PORFS(const char& UPLO, const int& n, const int& nrhs, long double* A, const int& lda, const long double* AF, const int& ldaf, const long double* B, const int& ldb, long double* X, const int& ldx, long double* FERR, long double* BERR, long double* WORK, int* IWORK, int* info) const; 
    void PTEQR(const char& COMPZ, const int& n, long double* D, long double* E, long double* Z, const int& ldz, long double* WORK, int* info) const;
    void POTRF(const char& UPLO, const int& n, long double* A, const int& lda, int* info) const; 
    void POTRS(const char& UPLO, const int& n, const int& nrhs, const long double* A, const int& lda, long double* B, const int& ldb, int* info) const; 
    void POEQU(const int& n, const long double* A, const int& lda, long double* S, long double* scond, long double* amax, int* info) const; 
    void GEQRF(const int& m, const int& n, long double* A, const int& lda, long double* TAU, long double* WORK, const int& lwork, int* info) const;
    void GEQR2(const int& m, const int& n, long double A[], const int& lda, long double TAU[], long double WORK[], int* const info) const;
    void GETRF(const int& m, const int& n, long double* A, const int& lda, int* IPIV, int* info) const;
    void GETRS(const char& TRANS, const int& n, const int& nrhs, const long double* A, const int& lda, const int* IPIV, long double* B, const int& ldb, int* info) const;
    void GETRI(const int& n, long double* A, const int& lda, const int* IPIV, long double* WORK, const int& lwork, int* info) const;
    void LASWP (const int& N, long double A[], const int& LDA, const int& K1, const int& K2, const int IPIV[], const int& INCX) const;
 
    void ORM2R(const char& SIDE, const char& TRANS, const int& m, const int& n, const int& k, const long double A[], const int& lda, const long double TAU[], long double C[], const int& ldc, long double WORK[], int* const info) const;
    void ORGQR(const int& m, const int& n, const int& k, long double* A, const int& lda, const long double* TAU, long double* WORK, const int& lwork, int* info) const;
    void UNGQR(const int& m, const int& n, const int& k, long double* A, const int& lda, const long double* TAU, long double* WORK, const int& lwork, int* info) const;
 
    void LARFG( const int& n, long double* alpha, long double* x, const int& incx, long double* tau ) const;
 
    long double LAPY2 (const long double x, const long double y) const;
    void LASCL (const char& TYPE, const int& kl, const int& ku, const long double cfrom, const long double cto, const int& m, const int& n, long double* A, const int& lda, int* info) const;
 
    void GBTRF (const int& m, const int& n, const int& kl, const int& ku, long double* A, const int& lda, int* IPIV, int* info) const;
    void GBTRS (const char& TRANS, const int& n, const int& kl, const int& ku, const int& nrhs, const long double* A, const int& lda, const int* IPIV, long double* B, const int& ldb, int* info) const;
  };
 
  // END int, long double SPECIALIZATION DECLARATION //
 
#endif // HAVE_TEUCHOS_LONG_DOUBLE
 
#endif // DOXYGEN_SHOULD_SKIP_THIS
 
} // namespace Teuchos
 
#endif // _TEUCHOS_LAPACK_HPP_