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Teuchos_LAPACK.hpp
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00041 
00042 #ifndef _TEUCHOS_LAPACK_HPP_
00043 #define _TEUCHOS_LAPACK_HPP_
00044 
00052 #include "Teuchos_ConfigDefs.hpp"
00053 #include "Teuchos_ScalarTraits.hpp"
00054 
00085 namespace Teuchos
00086 {
00087 
00088   template<class T>
00089   struct UndefinedLAPACKRoutine
00090   {
00091     // This function should not compile if there is an attempt to instantiate!
00092     static inline T notDefined() { return T::LAPACK_routine_not_defined_for_this_type(); }
00093   };
00094 
00095   template<typename OrdinalType, typename ScalarType>
00096   class LAPACK
00097   {
00098   public:
00099 
00100     typedef typename Teuchos::ScalarTraits<ScalarType>::magnitudeType MagnitudeType;
00101 
00103 
00104 
00106     inline LAPACK(void) {}
00107 
00109     inline LAPACK(const LAPACK<OrdinalType, ScalarType>& lapack) {}
00110 
00112     inline virtual ~LAPACK(void) {}
00114 
00116 
00117 
00119     void PTTRF(const OrdinalType n, ScalarType* d, ScalarType* e, OrdinalType* info) const;
00120 
00122     void PTTRS(const OrdinalType n, const OrdinalType nrhs, const ScalarType* d, const ScalarType* e, ScalarType* B, const OrdinalType ldb, OrdinalType* info) const;
00123 
00125     void POTRF(const char UPLO, const OrdinalType n, ScalarType* A, const OrdinalType lda, OrdinalType* info) const;
00126 
00128     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;
00129 
00131     void POTRI(const char UPLO, const OrdinalType n, ScalarType* A, const OrdinalType lda, OrdinalType* info) const;
00132 
00134 
00135     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;
00136 
00138     void POSV(const char UPLO, const OrdinalType n, const OrdinalType nrhs, ScalarType* A, const OrdinalType lda, ScalarType* B, const OrdinalType ldb, OrdinalType* info) const;
00139 
00141     void POEQU(const OrdinalType n, const ScalarType* A, const OrdinalType lda, ScalarType* S, ScalarType* scond, ScalarType* amax, OrdinalType* info) const;
00142 
00144     void PORFS(const char UPLO, const OrdinalType n, const OrdinalType nrhs, 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;
00145 
00147     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;
00149 
00151 
00152 
00154     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;
00155 
00189     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;
00190 
00192     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;
00193 
00195     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;
00196 
00198     void GEQRF( const OrdinalType m, const OrdinalType n, ScalarType* A, const OrdinalType lda, ScalarType* TAU, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const;
00199 
00201     void GETRF(const OrdinalType m, const OrdinalType n, ScalarType* A, const OrdinalType lda, OrdinalType* IPIV, OrdinalType* info) const;
00202 
00204     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;
00205 
00207     void
00208     LASWP (const OrdinalType N,
00209            ScalarType A[],
00210            const OrdinalType LDA,
00211            const OrdinalType K1,
00212            const OrdinalType K2,
00213            const OrdinalType IPIV[],
00214            const OrdinalType INCX) const;
00215 
00217     void GBTRF(const OrdinalType m, const OrdinalType n, const OrdinalType kl, const OrdinalType ku, ScalarType* A, const OrdinalType lda, OrdinalType* IPIV, OrdinalType* info) const;
00218   
00220     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;
00221 
00223     void GTTRF(const OrdinalType n, ScalarType* dl, ScalarType* d, ScalarType* du, ScalarType* du2, OrdinalType* IPIV, OrdinalType* info) const;
00224 
00226     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;
00227 
00229     void GETRI(const OrdinalType n, ScalarType* A, const OrdinalType lda, const OrdinalType* IPIV, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const;
00230 
00235     void
00236     LATRS (const char UPLO,
00237            const char TRANS,
00238            const char DIAG,
00239            const char NORMIN,
00240            const OrdinalType N,
00241            ScalarType* A,
00242            const OrdinalType LDA,
00243            ScalarType* X,
00244            MagnitudeType* SCALE,
00245            MagnitudeType* CNORM,
00246            OrdinalType* INFO) const;
00247 
00249     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;
00250 
00252     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;
00253 
00255     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;
00256 
00258     void GESV(const OrdinalType n, const OrdinalType nrhs, ScalarType* A, const OrdinalType lda, OrdinalType* IPIV, ScalarType* B, const OrdinalType ldb, OrdinalType* info) const;
00259 
00261     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;
00262 
00264     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;
00265 
00267     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;
00268 
00270     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;
00271 
00273     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;
00274 
00278     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;
00279 
00281     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;
00282 
00284     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;
00285 
00287     void TRTRI(const char UPLO, const char DIAG, const OrdinalType n, const ScalarType* A, const OrdinalType lda, OrdinalType* info) const;
00289 
00291 
00292 
00295     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;
00296 
00300     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;
00301 
00305     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;
00306 
00310     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;
00311 
00315     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;
00316 
00318     void STEQR(const char COMPZ, const OrdinalType n, ScalarType* D, ScalarType* E, ScalarType* Z, const OrdinalType ldz, ScalarType* WORK, OrdinalType* info) const;
00320 
00322 
00323 
00324     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;
00325 
00329     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;
00330 
00334     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;
00335 
00339     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;
00340 
00342     void GEEV(const char JOBVL, const char JOBVR, const OrdinalType n, ScalarType* A, const OrdinalType lda, ScalarType* WR, ScalarType* WI, ScalarType* VL, const OrdinalType ldvl, ScalarType* VR, const OrdinalType ldvr, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const;
00343 
00348     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;
00349 
00354     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;
00355 
00359     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;
00360 
00362 
00363 
00365 
00366 
00367     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;
00369 
00370 
00372 
00373 
00383     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;
00384 
00393     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;
00394 
00404     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;
00405 
00414     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;
00415 
00419     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;
00420 
00424     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;
00426 
00428 
00429 
00432     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;
00433 
00437     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;
00438 
00442     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;
00443 
00445 
00447 
00448 
00450     void LARTG( const ScalarType f, const ScalarType g, MagnitudeType* c, ScalarType* s, ScalarType* r ) const;
00451 
00453     void LARFG( const OrdinalType n, ScalarType* alpha, ScalarType* x, const OrdinalType incx, ScalarType* tau ) const;
00454 
00456 
00458 
00459 
00461     void GEBAL(const char JOBZ, const OrdinalType n, ScalarType* A, const OrdinalType lda, OrdinalType ilo, OrdinalType ihi, MagnitudeType* scale, OrdinalType* info) const;
00462 
00464     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;
00465 
00467 
00469 
00470 
00471     ScalarType LARND( const OrdinalType idist, OrdinalType* seed ) const;
00472 
00474     void LARNV( const OrdinalType idist, OrdinalType* seed, const OrdinalType n, ScalarType* v ) const;
00476 
00478 
00479 
00482     ScalarType LAMCH(const char CMACH) const;
00483 
00488     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;
00490 
00492 
00493 
00496     ScalarType LAPY2(const ScalarType x, const ScalarType y) const;
00498   };
00499 
00500   // END GENERAL TEMPLATE DECLARATION //
00501 
00502   // BEGIN GENERAL TEMPLATE IMPLEMENTATION //
00503 
00504 
00505   template<typename OrdinalType, typename ScalarType>
00506   void LAPACK<OrdinalType, ScalarType>::PTTRF(const OrdinalType n, ScalarType* d, ScalarType* e, OrdinalType* info) const
00507   {
00508     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00509   }
00510 
00511   template<typename OrdinalType, typename ScalarType>
00512   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
00513   {
00514     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00515   }
00516 
00517   template<typename OrdinalType, typename ScalarType>
00518   void LAPACK<OrdinalType, ScalarType>::POTRF(const char UPLO, const OrdinalType n, ScalarType* A, const OrdinalType lda, OrdinalType* info) const
00519   {
00520     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00521   }
00522 
00523   template<typename OrdinalType, typename ScalarType>
00524   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
00525   {
00526     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00527   }
00528 
00529   template<typename OrdinalType, typename ScalarType>
00530   void LAPACK<OrdinalType, ScalarType>::POTRI(const char UPLO, const OrdinalType n, ScalarType* A, const OrdinalType lda, OrdinalType* info) const
00531   {
00532     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00533   }
00534 
00535   template<typename OrdinalType, typename ScalarType>
00536   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
00537   {
00538     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00539   }
00540 
00541   template<typename OrdinalType, typename ScalarType>
00542   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
00543   {
00544     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00545   }
00546 
00547   template<typename OrdinalType, typename ScalarType>
00548   void LAPACK<OrdinalType, ScalarType>::POEQU(const OrdinalType n, const ScalarType* A, const OrdinalType lda, ScalarType* S, ScalarType* scond, ScalarType* amax, OrdinalType* info) const
00549   {
00550     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00551   }
00552 
00553   template<typename OrdinalType, typename ScalarType>
00554   void LAPACK<OrdinalType, ScalarType>::PORFS(const char UPLO, const OrdinalType n, const OrdinalType nrhs, 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
00555   {
00556     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00557   }
00558 
00559   template<typename OrdinalType, typename ScalarType>
00560   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
00561   {
00562     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00563   }
00564 
00565   template<typename OrdinalType, typename ScalarType>
00566   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
00567   {
00568     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00569   }
00570 
00571   template<typename OrdinalType, typename ScalarType>
00572   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
00573   {
00574     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00575   }
00576 
00577   template<typename OrdinalType, typename ScalarType>
00578   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
00579   {
00580     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00581   }
00582 
00583   template<typename OrdinalType, typename ScalarType>
00584   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
00585   {
00586     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00587   }
00588 
00589   template<typename OrdinalType, typename ScalarType>
00590   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
00591   {
00592     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00593   }
00594 
00595   template<typename OrdinalType, typename ScalarType>
00596   void LAPACK<OrdinalType,ScalarType>::GETRF(const OrdinalType m, const OrdinalType n, ScalarType* A, const OrdinalType lda, OrdinalType* IPIV, OrdinalType* info) const
00597   {
00598     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00599   }
00600 
00601   template<typename OrdinalType, typename ScalarType>
00602   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
00603   {
00604     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00605   }
00606 
00607   template<typename OrdinalType, typename ScalarType>
00608   void
00609   LAPACK<OrdinalType, ScalarType>::
00610   LASWP (const OrdinalType N,
00611          ScalarType A[],
00612          const OrdinalType LDA,
00613          const OrdinalType K1,
00614          const OrdinalType K2,
00615          const OrdinalType IPIV[],
00616          const OrdinalType INCX) const
00617   {
00618     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00619   }
00620 
00621   template<typename OrdinalType, typename ScalarType>
00622   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
00623   {
00624     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00625   }
00626 
00627   template<typename OrdinalType, typename ScalarType>
00628   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
00629   {
00630     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00631   }
00632 
00633   template<typename OrdinalType, typename ScalarType>
00634   void LAPACK<OrdinalType,ScalarType>::GTTRF(const OrdinalType n, ScalarType* dl, ScalarType* d, ScalarType* du, ScalarType* du2, OrdinalType* IPIV, OrdinalType* info) const
00635   {
00636     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00637   }
00638 
00639   template<typename OrdinalType, typename ScalarType>
00640   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
00641   {
00642     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00643   }
00644 
00645   template<typename OrdinalType, typename ScalarType>
00646   void LAPACK<OrdinalType,ScalarType>::GETRI(const OrdinalType n, ScalarType* A, const OrdinalType lda, const OrdinalType* IPIV, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const
00647   {
00648     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00649   }
00650 
00651   template<typename OrdinalType, typename ScalarType>
00652   void
00653   LAPACK<OrdinalType,ScalarType>::
00654   LATRS (const char UPLO,
00655          const char TRANS,
00656          const char DIAG,
00657          const char NORMIN,
00658          const OrdinalType N,
00659          ScalarType* A,
00660          const OrdinalType LDA,
00661          ScalarType* X,
00662          MagnitudeType* SCALE,
00663          MagnitudeType* CNORM,
00664          OrdinalType* INFO) const
00665   {
00666     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00667   }
00668 
00669   template<typename OrdinalType, typename ScalarType>
00670   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
00671   {
00672     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00673   }
00674 
00675   template<typename OrdinalType, typename ScalarType>
00676   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
00677   {
00678     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00679   }
00680 
00681   template<typename OrdinalType, typename ScalarType>
00682   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
00683   {
00684     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00685   }
00686 
00687   template<typename OrdinalType, typename ScalarType>
00688   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
00689   {
00690     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00691   }
00692 
00693   template<typename OrdinalType, typename ScalarType>
00694   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
00695   {
00696     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00697   }
00698 
00699   template<typename OrdinalType, typename ScalarType>
00700   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
00701   {
00702     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00703   }
00704 
00705   template<typename OrdinalType, typename ScalarType>
00706   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
00707   {
00708     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00709   }
00710 
00711   template<typename OrdinalType, typename ScalarType>
00712   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
00713   {
00714     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00715   }
00716 
00717   template<typename OrdinalType, typename ScalarType>
00718   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
00719   {
00720     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00721   }
00722 
00723   template<typename OrdinalType, typename ScalarType>
00724   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
00725   {
00726     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00727   }
00728 
00729   template<typename OrdinalType, typename ScalarType>
00730   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
00731   {
00732     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00733   }
00734 
00735   template<typename OrdinalType, typename ScalarType>
00736   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
00737   {
00738     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00739   }
00740 
00741   template<typename OrdinalType, typename ScalarType>
00742   void LAPACK<OrdinalType,ScalarType>::TRTRI(const char UPLO, const char DIAG, const OrdinalType n, const ScalarType* A, const OrdinalType lda, OrdinalType* info) const
00743   {
00744     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00745   }
00746 
00747   template<typename OrdinalType, typename ScalarType>
00748   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
00749   {
00750     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00751   }
00752 
00753   template<typename OrdinalType, typename ScalarType>
00754   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
00755   {
00756     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00757   }
00758 
00759   template<typename OrdinalType, typename ScalarType>
00760   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
00761   {
00762     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00763   }
00764 
00765   template<typename OrdinalType, typename ScalarType>
00766   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
00767   {
00768     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00769   }
00770 
00771   template<typename OrdinalType, typename ScalarType>
00772   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
00773   {
00774     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00775   }
00776 
00777   template<typename OrdinalType, typename ScalarType>
00778   void LAPACK<OrdinalType,ScalarType>::STEQR(const char COMPZ, const OrdinalType n, ScalarType* D, ScalarType* E, ScalarType* Z, const OrdinalType ldz, ScalarType* WORK, OrdinalType* info) const
00779   {
00780     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00781   }
00782 
00783   template<typename OrdinalType, typename ScalarType>
00784   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
00785   {
00786     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00787   }
00788 
00789   template<typename OrdinalType, typename ScalarType>
00790   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
00791   {
00792     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00793   }
00794 
00795   template<typename OrdinalType, typename ScalarType>
00796   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
00797   {
00798     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00799   }
00800 
00801   template<typename OrdinalType, typename ScalarType>
00802   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
00803   {
00804     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00805   }
00806 
00807   template<typename OrdinalType, typename ScalarType>
00808   void LAPACK<OrdinalType, ScalarType>::GEEV(const char JOBVL, const char JOBVR, const OrdinalType n, ScalarType* A, const OrdinalType lda, ScalarType* WR, ScalarType* WI, ScalarType* VL, const OrdinalType ldvl, ScalarType* VR, const OrdinalType ldvr, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const
00809   {
00810     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00811   }
00812 
00813   template<typename OrdinalType, typename ScalarType>
00814   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
00815   {
00816     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00817   }
00818 
00819   template<typename OrdinalType, typename ScalarType>
00820   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
00821   {
00822     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00823   }
00824 
00825   template<typename OrdinalType, typename ScalarType>
00826   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
00827   {
00828     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00829   }
00830 
00831   template<typename OrdinalType, typename ScalarType>
00832   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
00833   {
00834     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00835   }
00836 
00837   template<typename OrdinalType, typename ScalarType>
00838   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
00839   {
00840     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00841   }
00842 
00843   template<typename OrdinalType, typename ScalarType>
00844   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
00845   {
00846     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00847   }
00848 
00849   template<typename OrdinalType, typename ScalarType>
00850   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
00851   {
00852     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00853   }
00854 
00855   template<typename OrdinalType, typename ScalarType>
00856   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
00857   {
00858     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00859   }
00860 
00861   template<typename OrdinalType, typename ScalarType>
00862   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
00863   {
00864     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00865   }
00866 
00867   template<typename OrdinalType, typename ScalarType>
00868   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
00869   {
00870     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00871   }
00872 
00873   template<typename OrdinalType, typename ScalarType>
00874   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
00875   {
00876     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00877   }
00878 
00879   template<typename OrdinalType, typename ScalarType>
00880   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
00881   {
00882     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00883   }
00884 
00885   template<typename OrdinalType, typename ScalarType>
00886   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
00887   {
00888     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00889   }
00890 
00891   template<typename OrdinalType, typename ScalarType>
00892   ScalarType LAPACK<OrdinalType, ScalarType>::LAMCH(const char CMACH) const
00893   {
00894     return UndefinedLAPACKRoutine<ScalarType>::notDefined();
00895   }
00896 
00897   template<typename OrdinalType, typename ScalarType>
00898   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
00899   {
00900     return UndefinedLAPACKRoutine<OrdinalType>::notDefined();
00901   }
00902 
00903   template<typename OrdinalType, typename ScalarType>
00904   ScalarType LAPACK<OrdinalType, ScalarType>::LAPY2(const ScalarType x, const ScalarType y) const
00905   {
00906     return UndefinedLAPACKRoutine<ScalarType>::notDefined();
00907   }
00908 
00909   template<typename OrdinalType, typename ScalarType>
00910   void LAPACK<OrdinalType, ScalarType>::LARTG( const ScalarType f, const ScalarType g, MagnitudeType* c, ScalarType* s, ScalarType* r ) const
00911   {
00912     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00913   }
00914 
00915   template<typename OrdinalType, typename ScalarType>
00916   void LAPACK<OrdinalType, ScalarType>::LARFG( const OrdinalType n, ScalarType* alpha, ScalarType* x, const OrdinalType incx, ScalarType* tau ) const
00917   {
00918     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00919   }
00920 
00921   template<typename OrdinalType, typename ScalarType>
00922   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
00923   {
00924     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00925   }
00926 
00927 
00928   template<typename OrdinalType, typename ScalarType>
00929   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
00930   {
00931     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00932   }
00933 
00934   template<typename OrdinalType, typename ScalarType>
00935   ScalarType LAPACK<OrdinalType, ScalarType>::LARND( const OrdinalType idist, OrdinalType* seed ) const
00936   {
00937     return UndefinedLAPACKRoutine<ScalarType>::notDefined();
00938   }
00939 
00940   template<typename OrdinalType, typename ScalarType>
00941   void LAPACK<OrdinalType, ScalarType>::LARNV( const OrdinalType idist, OrdinalType* seed, const OrdinalType n, ScalarType* v ) const
00942   {
00943     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00944   }
00945 
00946   // END GENERAL TEMPLATE IMPLEMENTATION //
00947 
00948 #ifndef DOXYGEN_SHOULD_SKIP_THIS
00949 
00950   // BEGIN INT, FLOAT SPECIALIZATION DECLARATION //
00951 
00952   template<>
00953   class TEUCHOS_LIB_DLL_EXPORT LAPACK<int, float>
00954   {
00955   public:
00956     inline LAPACK(void) {}
00957     inline LAPACK(const LAPACK<int, float>& lapack) {}
00958     inline virtual ~LAPACK(void) {}
00959 
00960     // Symmetric positive definite linear system routines
00961     void POTRF(const char UPLO, const int n, float* A, const int lda, int * info) const;
00962     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;
00963     void PTTRF(const int n, float* d, float* e, int* info) const;
00964     void PTTRS(const int n, const int nrhs, const float* d, const float* e, float* B, const int ldb, int* info) const;
00965     void POTRI(const char UPLO, const int n, float* A, const int lda, int* info) const;
00966     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;
00967     void POSV(const char UPLO, const int n, const int nrhs, float* A, const int lda, float* B, const int ldb, int* info) const;
00968     void POEQU(const int n, const float* A, const int lda, float* S, float* scond, float* amax, int* info) const;
00969     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;
00970     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;
00971 
00972     // General Linear System Routines
00973     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;
00974     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;
00975     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;
00976     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;
00977     void GEQRF( const int m, const int n, float* A, const int lda, float* TAU, float* WORK, const int lwork, int* info) const;
00978     void GETRF(const int m, const int n, float* A, const int lda, int* IPIV, int* info) const;
00979     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;
00980 
00981 
00982     void LASWP (const int N,
00983                 float A[],
00984                 const int LDA,
00985                 const int K1,
00986                 const int K2,
00987                 const int IPIV[],
00988                 const int INCX) const;
00989 
00990     void GBTRF(const int m, const int n, const int kl, const int ku, float* A, const int lda, int* IPIV, int* info) const;
00991     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;
00992     void GTTRF(const int n, float* dl, float* d, float* du, float* du2, int* IPIV, int* info) const;
00993     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;
00994 
00995 
00996     void GETRI(const int n, float* A, const int lda, const int* IPIV, float* WORK, const int lwork, int* info) const;
00997     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;
00998     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;
00999     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;
01000     float LANGB(const char NORM, const int n, const int kl, const int ku, const float* A, const int lda, float* WORK) const;
01001     void GESV(const int n, const int nrhs, float* A, const int lda, int* IPIV, float* B, const int ldb, int* info) const;
01002     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;
01003     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;
01004     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;
01005     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;
01006     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;
01007     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;
01008     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;
01009     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;
01010     void TRTRI(const char UPLO, const char DIAG, const int n, const float* A, const int lda, int* info) const;
01011 
01012     // Symmetric eigenvalue routines.
01013     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;
01014     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;
01015     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;
01016     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;
01017     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;
01018     void STEQR(const char COMPZ, const int n, float* D, float* E, float* Z, const int ldz, float* WORK, int* info) const;
01019 
01020     // Non-Hermitian eigenvalue routines.
01021     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;
01022     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;
01023     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;
01024     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;
01025     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;
01026     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;
01027     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;
01028 
01029     // SVD routine
01030     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;
01031 
01032     // Orthogonal matrix routines.
01033     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;
01034     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;
01035 
01036     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;
01037     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;
01038     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;
01039     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;
01040 
01041     // Triangular matrix routines.
01042     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;
01043     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;
01044     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;
01045 
01046     // Rotation/reflection generators
01047     void LARTG( const float f, const float g, float* c, float* s, float* r ) const;
01048     void LARFG( const int n, float* alpha, float* x, const int incx, float* tau ) const;
01049 
01050     // Matrix balancing routines.
01051     void GEBAL(const char JOBZ, const int n, float* A, const int lda, int ilo, int ihi, float* scale, int* info) const;
01052     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;
01053 
01054     // Random number generators
01055     float LARND( const int idist, int* seed ) const;
01056     void LARNV( const int idist, int* seed, const int n, float* v ) const;
01057 
01058     // Machine characteristics.
01059     float LAMCH(const char CMACH) const;
01060     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;
01061 
01062     // Miscellaneous routines.
01063     float LAPY2(const float x, const float y) const;
01064 
01065   };
01066 
01067   // END INT, FLOAT SPECIALIZATION DECLARATION //
01068 
01069   // BEGIN INT, DOUBLE SPECIALIZATION DECLARATION //
01070 
01071   template<>
01072   class TEUCHOS_LIB_DLL_EXPORT LAPACK<int, double>
01073   {
01074   public:
01075     inline LAPACK(void) {}
01076     inline LAPACK(const LAPACK<int, double>& lapack) {}
01077     inline virtual ~LAPACK(void) {}
01078 
01079     // Symmetric positive definite linear system routines
01080     void PTTRF(const int n, double* d, double* e, int* info) const;
01081     void PTTRS(const int n, const int nrhs, const double* d, const double* e, double* B, const int ldb, int* info) const;
01082     void POTRF(const char UPLO, const int n, double* A, const int lda, int* info) const;
01083     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;
01084     void POTRI(const char UPLO, const int n, double* A, const int lda, int* info) const;
01085     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;
01086     void POSV(const char UPLO, const int n, const int nrhs, double* A, const int lda, double* B, const int ldb, int* info) const;
01087     void POEQU(const int n, const double* A, const int lda, double* S, double* scond, double* amax, int* info) const;
01088     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;
01089     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;
01090 
01091     // General linear system routines
01092     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;
01093     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;
01094     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;
01095     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;
01096     void GEQRF( const int m, const int n, double* A, const int lda, double* TAU, double* WORK, const int lwork, int* info) const;
01097     void GETRF(const int m, const int n, double* A, const int lda, int* IPIV, int* info) const;
01098     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;
01099 
01100     void LASWP (const int N,
01101                 double A[],
01102                 const int LDA,
01103                 const int K1,
01104                 const int K2,
01105                 const int IPIV[],
01106                 const int INCX) const;
01107 
01108     void GBTRF(const int m, const int n, const int kl, const int ku, double* A, const int lda, int* IPIV, int* info) const;
01109     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;
01110     void GTTRF(const int n, double* dl, double* d, double* du, double* du2, int* IPIV, int* info) const;
01111     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;
01112     void GETRI(const int n, double* A, const int lda, const int* IPIV, double* WORK, const int lwork, int* info) const;
01113     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;
01114     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;
01115     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;
01116     double LANGB(const char NORM, const int n, const int kl, const int ku, const double* A, const int lda, double* WORK) const;
01117     void GESV(const int n, const int nrhs, double* A, const int lda, int* IPIV, double* B, const int ldb, int* info) const;
01118     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;
01119     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;
01120     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;
01121     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;
01122     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;
01123     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;
01124     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;
01125     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;
01126     void TRTRI(const char UPLO, const char DIAG, const int n, const double* A, const int lda, int* info) const;
01127 
01128     // Symmetric eigenproblem routines.
01129     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;
01130     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;
01131     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;
01132     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;
01133     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;
01134     void STEQR(const char COMPZ, const int n, double* D, double* E, double* Z, const int ldz, double* WORK, int* info) const;
01135 
01136     // Non-Hermitian eigenproblem routines.
01137     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;
01138     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;
01139     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;
01140     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;
01141     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;
01142     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;
01143     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;
01144 
01145 
01146     // SVD routine
01147     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;
01148 
01149     // Orthogonal matrix routines.
01150     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;
01151     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;
01152     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;
01153     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;
01154     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;
01155     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;
01156 
01157     // Triangular matrix routines.
01158     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;
01159     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;
01160     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;
01161 
01162     // Rotation/reflection generators
01163     void LARTG( const double f, const double g, double* c, double* s, double* r ) const;
01164     void LARFG( const int n, double* alpha, double* x, const int incx, double* tau ) const;
01165 
01166     // Matrix balancing routines.
01167     void GEBAL(const char JOBZ, const int n, double* A, const int lda, int ilo, int ihi, double* scale, int* info) const;
01168     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;
01169 
01170     // Random number generators
01171     double LARND( const int idist, int* seed ) const;
01172     void LARNV( const int idist, int* seed, const int n, double* v ) const;
01173 
01174     // Machine characteristic routines.
01175     double LAMCH(const char CMACH) const;
01176     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;
01177 
01178     // Miscellaneous routines.
01179     double LAPY2(const double x, const double y) const;
01180 
01181   };
01182 
01183   // END INT, DOUBLE SPECIALIZATION DECLARATION //
01184 
01185 #ifdef HAVE_TEUCHOS_COMPLEX
01186 
01187   // BEGIN INT, COMPLEX<FLOAT> SPECIALIZATION DECLARATION //
01188 
01189   template<>
01190   class TEUCHOS_LIB_DLL_EXPORT LAPACK<int, std::complex<float> >
01191   {
01192   public:
01193     inline LAPACK(void) {}
01194     inline LAPACK(const LAPACK<int, std::complex<float> >& lapack) {}
01195     inline virtual ~LAPACK(void) {}
01196 
01197     // Symmetric positive definite linear system routines
01198     void PTTRF(const int n, std::complex<float>* d, std::complex<float>* e, int* info) const;
01199     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;
01200     void POTRF(const char UPLO, const int n, std::complex<float>* A, const int lda, int* info) const;
01201     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;
01202     void POTRI(const char UPLO, const int n, std::complex<float>* A, const int lda, int* info) const;
01203     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;
01204     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;
01205     void POEQU(const int n, const std::complex<float>* A, const int lda, float* S, float* scond, float* amax, int* info) const;
01206     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;
01207     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;
01208 
01209     // General Linear System Routines
01210     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;
01211     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;
01212     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;
01213     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;
01214     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;
01215     void GETRF(const int m, const int n, std::complex<float>* A, const int lda, int* IPIV, int* info) const;
01216     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;
01217 
01218     void LASWP (const int N,
01219                 std::complex<float> A[],
01220                 const int LDA,
01221                 const int K1,
01222                 const int K2,
01223                 const int IPIV[],
01224                 const int INCX) const;
01225 
01226     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;
01227     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;
01228     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;
01229     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;
01230     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;
01231     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;
01232     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;
01233     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;
01234     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;
01235     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;
01236     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;
01237     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;
01238     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;
01239     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;
01240     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;
01241     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;
01242     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;
01243     void TRTRI(const char UPLO, const char DIAG, const int n, const std::complex<float>* A, const int lda, int* info) const;
01244 
01245     // Symmetric eigenvalue routines.
01246     void STEQR(const char COMPZ, const int n, float* D, float* E, std::complex<float>* Z, const int ldz, float* WORK, int* info) const;
01247     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;
01248     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;
01249 
01250     // Non-Hermitian eigenvalue routines.
01251     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;
01252     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;
01253     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;
01254     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;
01255     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;
01256     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;
01257     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;
01258 
01259     // SVD routine
01260     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;
01261 
01262     // Triangular matrix routines.
01263     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;
01264     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;
01265     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;
01266 
01267     // Rotation/reflection generators
01268     void LARTG( const std::complex<float> f, const std::complex<float> g, float* c, std::complex<float>* s, std::complex<float>* r ) const;
01269     void LARFG( const int n, std::complex<float>* alpha, std::complex<float>* x, const int incx, std::complex<float>* tau ) const;
01270 
01271     // Matrix balancing routines.
01272     void GEBAL(const char JOBZ, const int n, std::complex<float>* A, const int lda, int ilo, int ihi, float* scale, int* info) const;
01273     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;
01274 
01275     // Random number generators
01276     std::complex<float> LARND( const int idist, int* seed ) const;
01277     void LARNV( const int idist, int* seed, const int n, std::complex<float>* v ) const;
01278 
01279     // Machine characteristics
01280     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;
01281 
01282   };
01283 
01284   // END INT, COMPLEX<FLOAT> SPECIALIZATION DECLARATION //
01285 
01286   // BEGIN INT, COMPLEX<DOUBLE> SPECIALIZATION DECLARATION //
01287 
01288   template<>
01289   class TEUCHOS_LIB_DLL_EXPORT LAPACK<int, std::complex<double> >
01290   {
01291   public:
01292     inline LAPACK(void) {}
01293     inline LAPACK(const LAPACK<int, std::complex<double> >& lapack) {}
01294     inline virtual ~LAPACK(void) {}
01295 
01296     // Symmetric positive definite linear system routines
01297     void PTTRF(const int n, std::complex<double>* d, std::complex<double>* e, int* info) const;
01298     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;
01299     void POTRF(const char UPLO, const int n, std::complex<double>* A, const int lda, int* info) const;
01300     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;
01301     void POTRI(const char UPLO, const int n, std::complex<double>* A, const int lda, int* info) const;
01302     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;
01303     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;
01304     void POEQU(const int n, const std::complex<double>* A, const int lda, double* S, double* scond, double* amax, int* info) const;
01305     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;
01306     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;
01307 
01308     // General Linear System Routines
01309     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;
01310     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;
01311     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;
01312     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;
01313     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;
01314     void GETRF(const int m, const int n, std::complex<double>* A, const int lda, int* IPIV, int* info) const;
01315     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;
01316 
01317     void LASWP (const int N,
01318                 std::complex<double> A[],
01319                 const int LDA,
01320                 const int K1,
01321                 const int K2,
01322                 const int IPIV[],
01323                 const int INCX) const;
01324 
01325     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;
01326     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;
01327     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;
01328     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;
01329     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;
01330     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;
01331     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;
01332     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;
01333     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;
01334     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;
01335     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;
01336     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;
01337     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;
01338     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;
01339     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;
01340     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;
01341     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;
01342     void TRTRI(const char UPLO, const char DIAG, const int n, const std::complex<double>* A, const int lda, int* info) const;
01343 
01344     // Symmetric eigenvalue routines.
01345     void STEQR(const char COMPZ, const int n, double* D, double* E, std::complex<double>* Z, const int ldz, double* WORK, int* info) const;
01346     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;
01347     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;
01348 
01349     // Non-hermitian eigenvalue routines.
01350     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;
01351     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;
01352     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;
01353     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;
01354     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;
01355     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;
01356     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;
01357 
01358     // SVD routine
01359     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;
01360 
01361     // Triangular matrix routines.
01362     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;
01363     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;
01364     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;
01365 
01366     // Rotation/reflection generators
01367     void LARTG( const std::complex<double> f, const std::complex<double> g, double* c, std::complex<double>* s, std::complex<double>* r ) const;
01368     void LARFG( const int n, std::complex<double>* alpha, std::complex<double>* x, const int incx, std::complex<double>* tau ) const;
01369 
01370     // Matrix balancing routines.
01371     void GEBAL(const char JOBZ, const int n, std::complex<double>* A, const int lda, int ilo, int ihi, double* scale, int* info) const;
01372     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;
01373 
01374     // Random number generators
01375     std::complex<double> LARND( const int idist, int* seed ) const;
01376     void LARNV( const int idist, int* seed, const int n, std::complex<double>* v ) const;
01377 
01378     // Machine characteristics
01379     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;
01380 
01381   };
01382 
01383   // END INT, COMPLEX<DOUBLE> SPECIALIZATION DECLARATION //
01384 
01385 #endif // HAVE_TEUCHOS_COMPLEX
01386 
01387 #endif // DOXYGEN_SHOULD_SKIP_THIS
01388 
01389 } // namespace Teuchos
01390 
01391 #endif // _TEUCHOS_LAPACK_HPP_
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