doc/html/Teuchos__LAPACK__MP__Vector_8hpp_source.html

 // @HEADER

 // *****************************************************************************

 //                    Teuchos: Common Tools Package

 //

 // Copyright 2004 NTESS and the Teuchos contributors.

 // SPDX-License-Identifier: BSD-3-Clause

 // *****************************************************************************

 // @HEADER


 #ifndef _TEUCHOS_LAPACK_MP_VECTOR_HPP_

 #define _TEUCHOS_LAPACK_MP_VECTOR_HPP_


 #include "Teuchos_LAPACK.hpp"

 #include "Teuchos_TestForException.hpp"

 #include "Sacado_MP_Vector.hpp"


 namespace Teuchos {


   template<typename OrdinalType, typename Storage>

   class LAPACK<OrdinalType, Sacado::MP::Vector<Storage> >

   {

   public:


     typedef Sacado::MP::Vector<Storage> ScalarType;

     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

       { throw_error("PTTRF"); }


     void PTTRS(const OrdinalType n, const OrdinalType nrhs, const ScalarType* d, const ScalarType* e, ScalarType* B, const OrdinalType ldb, OrdinalType* info) const

       { throw_error("PTTRS"); }


     void POTRF(const char UPLO, const OrdinalType n, ScalarType* A, const OrdinalType lda, OrdinalType* info) const

       { throw_error("POTRF"); }


     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

       { throw_error("POTRS"); }


     void POTRI(const char UPLO, const OrdinalType n, ScalarType* A, const OrdinalType lda, OrdinalType* info) const

       { throw_error("POTRI"); }


     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

       { throw_error("POCON"); }


     void POSV(const char UPLO, const OrdinalType n, const OrdinalType nrhs, ScalarType* A, const OrdinalType lda, ScalarType* B, const OrdinalType ldb, OrdinalType* info) const

       { throw_error("POSV"); }


     void POEQU(const OrdinalType n, const ScalarType* A, const OrdinalType lda, MagnitudeType* S, MagnitudeType* scond, MagnitudeType* amax, OrdinalType* info) const

       { throw_error("POEQU"); }


     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

       { throw_error("PORFS"); }


     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

       { throw_error("POSVX"); }


     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

       { throw_error("GELS"); }


     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

       { throw_error("GELSS"); }


     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

       { throw_error("GELSS"); }


     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

       { throw_error("GGLSE"); }


     void GEQRF( const OrdinalType m, const OrdinalType n, ScalarType* A, const OrdinalType lda, ScalarType* TAU, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const

       { throw_error("GEQRF"); }


     void GETRF(const OrdinalType m, const OrdinalType n, ScalarType* A, const OrdinalType lda, OrdinalType* IPIV, OrdinalType* info) const

       { throw_error("GETRF"); }


     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

       { throw_error("GETRS"); }


     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

       { throw_error("LASCL"); }


     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

       { throw_error("GEQP3"); }


     void

     LASWP (const OrdinalType N,

            ScalarType A[],

            const OrdinalType LDA,

            const OrdinalType K1,

            const OrdinalType K2,

            const OrdinalType IPIV[],

            const OrdinalType INCX) const

       { throw_error("LASWP"); }


     void GBTRF(const OrdinalType m, const OrdinalType n, const OrdinalType kl, const OrdinalType ku, ScalarType* A, const OrdinalType lda, OrdinalType* IPIV, OrdinalType* info) const

       { throw_error("GBTRF"); }


     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

       { throw_error("GBTRS"); }


     void GTTRF(const OrdinalType n, ScalarType* dl, ScalarType* d, ScalarType* du, ScalarType* du2, OrdinalType* IPIV, OrdinalType* info) const

       { throw_error("GTTRF"); }


     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

       { throw_error("GTTRS"); }


     void GETRI(const OrdinalType n, ScalarType* A, const OrdinalType lda, const OrdinalType* IPIV, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const

       { throw_error("GETRI"); }


     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

       { throw_error("LATRS"); }


     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

       { throw_error("GECON"); }


     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

       { throw_error("GBCON"); }


     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

       { throw_error("LANGB"); return MagnitudeType(0); }


     void GESV(const OrdinalType n, const OrdinalType nrhs, ScalarType* A, const OrdinalType lda, OrdinalType* IPIV, ScalarType* B, const OrdinalType ldb, OrdinalType* info) const

       { throw_error("GESV"); }


     void GEEQU(const OrdinalType m, const OrdinalType n, const ScalarType* A, const OrdinalType lda, MagnitudeType* R, MagnitudeType* C, MagnitudeType* rowcond, MagnitudeType* colcond, MagnitudeType* amax, OrdinalType* info) const

       { throw_error("GEEQU"); }


     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, MagnitudeType* FERR, MagnitudeType* BERR, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const

       { throw_error("GERFS"); }


     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

       { throw_error("GBEQU"); }


     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

       { throw_error("GBRFS"); }


     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

       { throw_error("GESVX"); }


     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

       { throw_error("SYTRD"); }


     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

       { throw_error("GEHRD"); }


     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

       { throw_error("TRTRS"); }


     void TRTRI(const char UPLO, const char DIAG, const OrdinalType n, const ScalarType* A, const OrdinalType lda, OrdinalType* info) const

       { throw_error("TRTRI"); }


     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

       { throw_error("SPEV"); }


     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

       { throw_error("SYEV"); }


     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

       { throw_error("SYGV"); }


     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

       { throw_error("HEEV"); }


     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

       { throw_error("HEGV"); }


     void STEQR(const char COMPZ, const OrdinalType n, ScalarType* D, ScalarType* E, ScalarType* Z, const OrdinalType ldz, ScalarType* WORK, OrdinalType* info) const

       { throw_error("STEQR"); }


     void PTEQR(const char COMPZ, const OrdinalType n, ScalarType* D, ScalarType* E, ScalarType* Z, const OrdinalType ldz, ScalarType* WORK, OrdinalType* info) const

       { throw_error("PTEQR"); }


     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

       { throw_error("HSEQR"); }


     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

       { throw_error("GEES"); }


     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

       { throw_error("GEES"); }


     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

       { throw_error("GEES"); }


     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

       { throw_error("GEEV"); }


     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

       { throw_error("GEEVX"); }


     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

       { throw_error("GGEVX"); }


     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

       { throw_error("GGEV"); }


   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

     { throw_error("TRSEN"); }


   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

     { throw_error("TGSEN"); }


     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

       { throw_error("GGES"); }


     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

       { throw_error("GESVD"); }


     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

       { throw_error("ORMQR"); }


     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

       { throw_error("UNMQR"); }


     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

       { throw_error("ORGQR"); }


     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

       { throw_error("UNGQR"); }


     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

       { throw_error("ORGHR"); }


     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

       { throw_error("ORMHR"); }


     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

       { throw_error("TREVC"); }


     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

       { throw_error("TREVC"); }


     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

       { throw_error("TREXC"); }


     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

       { throw_error("TGEVC"); }


     void LARTG( const ScalarType f, const ScalarType g, MagnitudeType* c, ScalarType* s, ScalarType* r ) const

       { throw_error("LARTG"); }


     void LARFG( const OrdinalType n, ScalarType* alpha, ScalarType* x, const OrdinalType incx, ScalarType* tau ) const

       { throw_error("LARFG"); }


     void GEBAL(const char JOBZ, const OrdinalType n, ScalarType* A, const OrdinalType lda, OrdinalType ilo, OrdinalType ihi, MagnitudeType* scale, OrdinalType* info) const

       { throw_error("GEBAL"); }


     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

       { throw_error("GEBAK"); }


     ScalarType LARND( const OrdinalType idist, OrdinalType* seed ) const

       { throw_error("LARND"); return ScalarType(0); }


     void LARNV( const OrdinalType idist, OrdinalType* seed, const OrdinalType n, ScalarType* v ) const

       { throw_error("LARNV"); }


     ScalarType LAMCH(const char CMACH) const

       { throw_error("LAMCH"); return ScalarType(0); }


     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

       { throw_error("ILAENV"); return OrdinalType(0); }


     ScalarType LAPY2(const ScalarType x, const ScalarType y) const

       { throw_error("LAPY2"); return ScalarType(0); }


   private:


     void throw_error(const char *func) const {

       TEUCHOS_TEST_FOR_EXCEPTION(

         true, std::logic_error,

         func << ":  Not implemented for Sacado::MP::Vector scalar type!");

     }


   };


 } // namespace Teuchos


 #endif // _TEUCHOS_LAPACK__MP_VECTOR_HPP_

Teuchos::LAPACK::MagnitudeType
Teuchos::ScalarTraits< ScalarType >::magnitudeType MagnitudeType

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::GESVX
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
Uses the LU factorization to compute the solution to a real system of linear equations A*X=B...
Definition: Teuchos_LAPACK_MP_Vector.hpp:254

D

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::GGEVX
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
Definition: Teuchos_LAPACK_MP_Vector.hpp:361

B

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::GBCON
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
Estimates the reciprocal of the condition number of a general banded real matrix A, in either the 1-norm or the infinity-norm, using the LU factorization computed by GETRF.
Definition: Teuchos_LAPACK_MP_Vector.hpp:226

Teuchos::ScalarTraits::magnitudeType
T magnitudeType

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::GTTRF
void GTTRF(const OrdinalType n, ScalarType *dl, ScalarType *d, ScalarType *du, ScalarType *du2, OrdinalType *IPIV, OrdinalType *info) const
Computes an LU factorization of a n by n tridiagonal matrix A using partial pivoting with row interch...
Definition: Teuchos_LAPACK_MP_Vector.hpp:192

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::GEES
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
Definition: Teuchos_LAPACK_MP_Vector.hpp:333

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::GELSS
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
Legacy GELSS interface for real-valued ScalarType.
Definition: Teuchos_LAPACK_MP_Vector.hpp:136

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::POCON
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
Estimates the reciprocal of the condition number (1-norm) of a real symmetric positive definite matri...
Definition: Teuchos_LAPACK_MP_Vector.hpp:72

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::LARTG
void LARTG(const ScalarType f, const ScalarType g, MagnitudeType *c, ScalarType *s, ScalarType *r) const
Gnerates a plane rotation that zeros out the second component of the input vector.
Definition: Teuchos_LAPACK_MP_Vector.hpp:497

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::SYGV
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
Computes all the eigenvalues and, optionally, eigenvectors of a symmetric n by n matrix pencil {A...
Definition: Teuchos_LAPACK_MP_Vector.hpp:293

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::POSVX
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
Uses the Cholesky factorization to compute the solution to a real system of linear equations A*X=B...
Definition: Teuchos_LAPACK_MP_Vector.hpp:88

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::ORMHR
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
Overwrites the general real m by n matrix C with the product of C and Q, which is a product of ihi-il...
Definition: Teuchos_LAPACK_MP_Vector.hpp:460

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::MagnitudeType
Teuchos::ScalarTraits< ScalarType >::magnitudeType MagnitudeType
Definition: Teuchos_LAPACK_MP_Vector.hpp:32

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::ORMQR
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
Definition: Teuchos_LAPACK_MP_Vector.hpp:414

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::GEEV
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
Computes for an n by n real nonsymmetric matrix A, the eigenvalues and, optionally, the left and/or right eigenvectors.
Definition: Teuchos_LAPACK_MP_Vector.hpp:347

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::LATRS
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
Robustly solve a possibly singular triangular linear system.
Definition: Teuchos_LAPACK_MP_Vector.hpp:208

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::LASCL
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
Multiplies the m by n matrix A by the real scalar cto/cfrom.
Definition: Teuchos_LAPACK_MP_Vector.hpp:156

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::PORFS
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
Improves the computed solution to a system of linear equations when the coefficient matrix is symmetr...
Definition: Teuchos_LAPACK_MP_Vector.hpp:84

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::throw_error
void throw_error(const char *func) const
Definition: Teuchos_LAPACK_MP_Vector.hpp:557

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::TREVC
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
Definition: Teuchos_LAPACK_MP_Vector.hpp:469

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::GEBAL
void GEBAL(const char JOBZ, const OrdinalType n, ScalarType *A, const OrdinalType lda, OrdinalType ilo, OrdinalType ihi, MagnitudeType *scale, OrdinalType *info) const
Balances a general matrix A, through similarity transformations to make the rows and columns as close...
Definition: Teuchos_LAPACK_MP_Vector.hpp:510

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::HEGV
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
Computes all the eigenvalues and, optionally, eigenvectors of a generalized Hermitian-definite n by n...
Definition: Teuchos_LAPACK_MP_Vector.hpp:305

TEUCHOS_TEST_FOR_EXCEPTION
#define TEUCHOS_TEST_FOR_EXCEPTION(throw_exception_test, Exception, msg)

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::GGEV
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
Definition: Teuchos_LAPACK_MP_Vector.hpp:367

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::POTRS
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
Solves a system of linear equations A*X=B, where A is a symmetric positive definite matrix factored b...
Definition: Teuchos_LAPACK_MP_Vector.hpp:63

C

A

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::GEHRD
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
Reduces a real general matrix A to upper Hessenberg form by orthogonal similarity transformations...
Definition: Teuchos_LAPACK_MP_Vector.hpp:264

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::POTRI
void POTRI(const char UPLO, const OrdinalType n, ScalarType *A, const OrdinalType lda, OrdinalType *info) const
Computes the inverse of a real symmetric positive definite matrix A using the Cholesky factorization ...
Definition: Teuchos_LAPACK_MP_Vector.hpp:67

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::GEEVX
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
Definition: Teuchos_LAPACK_MP_Vector.hpp:354

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::SYEV
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
Computes all the eigenvalues and, optionally, eigenvectors of a symmetric n by n matrix A...
Definition: Teuchos_LAPACK_MP_Vector.hpp:287

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::GETRI
void GETRI(const OrdinalType n, ScalarType *A, const OrdinalType lda, const OrdinalType *IPIV, ScalarType *WORK, const OrdinalType lwork, OrdinalType *info) const
Computes the inverse of a matrix A using the LU factorization computed by GETRF.
Definition: Teuchos_LAPACK_MP_Vector.hpp:200

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::GEQP3
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
Computes a QR factorization with column pivoting of a matrix A: A*P = Q*R using Level 3 BLAS...
Definition: Teuchos_LAPACK_MP_Vector.hpp:161

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::UNGQR
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
Compute explicit QR factor from QR factorization (GEQRF) (complex case).
Definition: Teuchos_LAPACK_MP_Vector.hpp:448

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::LASWP
void LASWP(const OrdinalType N, ScalarType A[], const OrdinalType LDA, const OrdinalType K1, const OrdinalType K2, const OrdinalType IPIV[], const OrdinalType INCX) const
Apply a series of row interchanges to the matrix A.
Definition: Teuchos_LAPACK_MP_Vector.hpp:174

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::PTEQR
void PTEQR(const char COMPZ, const OrdinalType n, ScalarType *D, ScalarType *E, ScalarType *Z, const OrdinalType ldz, ScalarType *WORK, OrdinalType *info) const
Computes the eigenvalues and, optionally, eigenvectors of a symmetric positive-definite tridiagonal n...
Definition: Teuchos_LAPACK_MP_Vector.hpp:314

Teuchos::ScalarTraits

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::LAMCH
ScalarType LAMCH(const char CMACH) const
Determines machine parameters for floating point characteristics.
Definition: Teuchos_LAPACK_MP_Vector.hpp:535

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::GEES
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
Definition: Teuchos_LAPACK_MP_Vector.hpp:327

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::GEES
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
Definition: Teuchos_LAPACK_MP_Vector.hpp:339

Teuchos_LAPACK.hpp

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::TRSEN
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
Definition: Teuchos_LAPACK_MP_Vector.hpp:374

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::POEQU
void POEQU(const OrdinalType n, const ScalarType *A, const OrdinalType lda, MagnitudeType *S, MagnitudeType *scond, MagnitudeType *amax, OrdinalType *info) const
Computes row and column scalings intended to equilibrate a symmetric positive definite matrix A and r...
Definition: Teuchos_LAPACK_MP_Vector.hpp:80

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::LANGB
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
Returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of lar...
Definition: Teuchos_LAPACK_MP_Vector.hpp:230

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::TREXC
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
Definition: Teuchos_LAPACK_MP_Vector.hpp:481

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::GTTRS
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
Solves a system of linear equations A*X=B or A&#39;*X=B or A^H*X=B with a tridiagonal matrix A using the ...
Definition: Teuchos_LAPACK_MP_Vector.hpp:196

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::POSV
void POSV(const char UPLO, const OrdinalType n, const OrdinalType nrhs, ScalarType *A, const OrdinalType lda, ScalarType *B, const OrdinalType ldb, OrdinalType *info) const
Computes the solution to a real system of linear equations A*X=B, where A is a symmetric positive def...
Definition: Teuchos_LAPACK_MP_Vector.hpp:76

Teuchos::LAPACK::LARND
ScalarType LARND(const OrdinalType &idist, OrdinalType *seed) const

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::GEQRF
void GEQRF(const OrdinalType m, const OrdinalType n, ScalarType *A, const OrdinalType lda, ScalarType *TAU, ScalarType *WORK, const OrdinalType lwork, OrdinalType *info) const
Computes a QR factorization of a general m by n matrix A.
Definition: Teuchos_LAPACK_MP_Vector.hpp:144

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::GETRS
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
Solves a system of linear equations A*X=B or A&#39;*X=B with a general n by n matrix A using the LU facto...
Definition: Teuchos_LAPACK_MP_Vector.hpp:152

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::GEEQU
void GEEQU(const OrdinalType m, const OrdinalType n, const ScalarType *A, const OrdinalType lda, MagnitudeType *R, MagnitudeType *C, MagnitudeType *rowcond, MagnitudeType *colcond, MagnitudeType *amax, OrdinalType *info) const
Computes row and column scalings intended to equilibrate an m by n matrix A and reduce its condition ...
Definition: Teuchos_LAPACK_MP_Vector.hpp:238

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::GELS
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
Solves an over/underdetermined real m by n linear system A using QR or LQ factorization of A...
Definition: Teuchos_LAPACK_MP_Vector.hpp:96

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::ScalarType
Sacado::MP::Vector< Storage > ScalarType
Definition: Teuchos_LAPACK_MP_Vector.hpp:31

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::STEQR
void STEQR(const char COMPZ, const OrdinalType n, ScalarType *D, ScalarType *E, ScalarType *Z, const OrdinalType ldz, ScalarType *WORK, OrdinalType *info) const
Computes the eigenvalues and, optionally, eigenvectors of a symmetric tridiagonal n by n matrix A usi...
Definition: Teuchos_LAPACK_MP_Vector.hpp:309

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::GBTRS
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
Solves a system of linear equations A*X=B or A&#39;*X=B with a general banded n by n matrix A using the L...
Definition: Teuchos_LAPACK_MP_Vector.hpp:188

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::HEEV
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
Computes all the eigenvalues and, optionally, eigenvectors of a Hermitian n by n matrix A...
Definition: Teuchos_LAPACK_MP_Vector.hpp:299

DIAG
Definition: experimental/linear2d_diffusion_pce.cpp:97

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::~LAPACK
virtual ~LAPACK(void)
Destructor.
Definition: Teuchos_LAPACK_MP_Vector.hpp:44

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::GBEQU
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
Computes row and column scalings intended to equilibrate an m by n banded matrix A and reduce its con...
Definition: Teuchos_LAPACK_MP_Vector.hpp:246

Teuchos::LAPACK
Specialization for Sacado::UQ::PCE&lt; Storage&lt;...&gt; &gt;

Teuchos::TRANS

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::GETRF
void GETRF(const OrdinalType m, const OrdinalType n, ScalarType *A, const OrdinalType lda, OrdinalType *IPIV, OrdinalType *info) const
Computes an LU factorization of a general m by n matrix A using partial pivoting with row interchange...
Definition: Teuchos_LAPACK_MP_Vector.hpp:148

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::ILAENV
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
Chooses problem-dependent parameters for the local environment.
Definition: Teuchos_LAPACK_MP_Vector.hpp:542

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::TRTRS
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
Solves a triangular linear system of the form A*X=B or A**T*X=B, where A is a triangular matrix...
Definition: Teuchos_LAPACK_MP_Vector.hpp:268

E

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::ORGHR
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
Generates a real orthogonal matrix Q which is the product of ihi-ilo elementary reflectors of order n...
Definition: Teuchos_LAPACK_MP_Vector.hpp:454

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::SYTRD
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
Reduces a real symmetric matrix A to tridiagonal form by orthogonal similarity transformations.
Definition: Teuchos_LAPACK_MP_Vector.hpp:260

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::LAPY2
ScalarType LAPY2(const ScalarType x, const ScalarType y) const
Computes x^2 + y^2 safely, to avoid overflow.
Definition: Teuchos_LAPACK_MP_Vector.hpp:551

Teuchos::LAPACK::GESVD
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

f
ScalarType f(const Teuchos::Array< ScalarType > &x, double a, double b)
Definition: gram_schmidt_example3.cpp:64

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::PTTRF
void PTTRF(const OrdinalType n, ScalarType *d, ScalarType *e, OrdinalType *info) const
Computes the L*D*L&#39; factorization of a Hermitian/symmetric positive definite tridiagonal matrix A...
Definition: Teuchos_LAPACK_MP_Vector.hpp:51

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::LAPACK
LAPACK(const LAPACK< OrdinalType, ScalarType > &lapack)
Copy Constructor.
Definition: Teuchos_LAPACK_MP_Vector.hpp:41

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::UNMQR
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
Apply Householder reflectors (complex case).
Definition: Teuchos_LAPACK_MP_Vector.hpp:425

Teuchos_TestForException.hpp

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::ORGQR
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
Compute explicit Q factor from QR factorization (GEQRF) (real case).
Definition: Teuchos_LAPACK_MP_Vector.hpp:437

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::GERFS
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, MagnitudeType *FERR, MagnitudeType *BERR, ScalarType *WORK, OrdinalType *IWORK, OrdinalType *info) const
Improves the computed solution to a system of linear equations and provides error bounds and backward...
Definition: Teuchos_LAPACK_MP_Vector.hpp:242

Sacado_MP_Vector.hpp

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::GESV
void GESV(const OrdinalType n, const OrdinalType nrhs, ScalarType *A, const OrdinalType lda, OrdinalType *IPIV, ScalarType *B, const OrdinalType ldb, OrdinalType *info) const
Computes the solution to a real system of linear equations A*X=B, where A is factored through GETRF a...
Definition: Teuchos_LAPACK_MP_Vector.hpp:234

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::GEBAK
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
Forms the left or right eigenvectors of a general matrix that has been balanced by GEBAL by backward ...
Definition: Teuchos_LAPACK_MP_Vector.hpp:514

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::PTTRS
void PTTRS(const OrdinalType n, const OrdinalType nrhs, const ScalarType *d, const ScalarType *e, ScalarType *B, const OrdinalType ldb, OrdinalType *info) const
Solves a tridiagonal system A*X=B using the *D*L&#39; factorization of A computed by PTTRF.
Definition: Teuchos_LAPACK_MP_Vector.hpp:55

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::GGES
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
Definition: Teuchos_LAPACK_MP_Vector.hpp:388

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::LAPACK
LAPACK(void)
Default Constructor.
Definition: Teuchos_LAPACK_MP_Vector.hpp:38

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::SPEV
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
Computes the eigenvalues and, optionally, eigenvectors of a symmetric n by n matrix A in packed stora...
Definition: Teuchos_LAPACK_MP_Vector.hpp:281

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::TGSEN
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
Definition: Teuchos_LAPACK_MP_Vector.hpp:381

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::LARNV
void LARNV(const OrdinalType idist, OrdinalType *seed, const OrdinalType n, ScalarType *v) const
Returns a vector of random numbers from a chosen distribution.
Definition: Teuchos_LAPACK_MP_Vector.hpp:526

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::GBRFS
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
Improves the computed solution to a banded system of linear equations and provides error bounds and b...
Definition: Teuchos_LAPACK_MP_Vector.hpp:250

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::TGEVC
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
Definition: Teuchos_LAPACK_MP_Vector.hpp:487

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::GBTRF
void GBTRF(const OrdinalType m, const OrdinalType n, const OrdinalType kl, const OrdinalType ku, ScalarType *A, const OrdinalType lda, OrdinalType *IPIV, OrdinalType *info) const
Computes an LU factorization of a general banded m by n matrix A using partial pivoting with row inte...
Definition: Teuchos_LAPACK_MP_Vector.hpp:184

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::TREVC
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
Definition: Teuchos_LAPACK_MP_Vector.hpp:475

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::GECON
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
Estimates the reciprocal of the condition number of a general real matrix A, in either the 1-norm or ...
Definition: Teuchos_LAPACK_MP_Vector.hpp:222

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::POTRF
void POTRF(const char UPLO, const OrdinalType n, ScalarType *A, const OrdinalType lda, OrdinalType *info) const
Computes Cholesky factorization of a real symmetric positive definite matrix A.
Definition: Teuchos_LAPACK_MP_Vector.hpp:59

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::LARFG
void LARFG(const OrdinalType n, ScalarType *alpha, ScalarType *x, const OrdinalType incx, ScalarType *tau) const
Generates an elementary reflector of order n that zeros out the last n-1 components of the input vect...
Definition: Teuchos_LAPACK_MP_Vector.hpp:501

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::GGLSE
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
Solves the linear equality-constrained least squares (LSE) problem where A is an m by n matrix...
Definition: Teuchos_LAPACK_MP_Vector.hpp:140

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::GELSS
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
Use the SVD to solve a possibly rank-deficient linear least-squares problem.
Definition: Teuchos_LAPACK_MP_Vector.hpp:132

g
ScalarType g(const Teuchos::Array< ScalarType > &x, const ScalarType &y)
Definition: gram_schmidt_example3.cpp:75

Teuchos::LAPACK::HSEQR
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

Teuchos::LAPACK< OrdinalType, Sacado::MP::Vector< Storage > >::TRTRI
void TRTRI(const char UPLO, const char DIAG, const OrdinalType n, const ScalarType *A, const OrdinalType lda, OrdinalType *info) const
Computes the inverse of an upper or lower triangular matrix A.
Definition: Teuchos_LAPACK_MP_Vector.hpp:272

Sacado::MP::Vector
Definition: Belos_SolverManager_MP_Vector.hpp:16