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| real sdot_(integer* N,       real* X, integer* incX,       real* Y, integer* incY);doublerealddot_(integer* N,       doublereal* X, integer* incX,       doublereal* Y, integer* incY);void cdotu_(complex* retval,       integer* N,        complex* X, integer* incX,        complex* Y, integer* incY);voidcdotc_(complex* retval,       integer* N,        complex* X, integer* incX,        complex* Y, integer* incY);voidzdotu_(doublecomplex* retval,       integer* N,        doublecomplex* X, integer* incX,        doublecomplex* Y, integer* incY);voidzdotc_(doublecomplex* retval,       integer* N,        doublecomplex* X, integer* incX,        doublecomplex* Y, integer* incY);real snrm2_(integer* N,        real* X, integer* incX);realsasum_(integer* N,        real* X, integer* incX);doublerealdnrm2_(integer* N,        doublereal* X, integer* incX);doublerealdasum_(integer* N,        doublereal* X, integer* incX);real scnrm2_(integer* N,         complex* X, integer* incX);realscasum_(integer* N,         complex* X, integer* incX);doublereal dznrm2_(integer* N,         doublecomplex* X, integer* incX);doublerealdzasum_(integer* N,         doublecomplex* X, integer* incX);integerisamax_(integer* N,        real* X, integer* incX);integeridamax_(integer* N,        doublereal* X, integer* incX);integericamax_(integer* N,        complex* X, integer* incX);integerizamax_(integer* N,        doublecomplex* X, integer* incX);intsswap_(integer* N,       real* X, integer* incX,       real* Y, integer* incY);intscopy_(integer* N,       real* X, integer* incX,       real* Y, integer* incY);intsaxpy_(integer* N,       real* alpha,       real* X, integer* incX,       real* Y, integer* incY);intdswap_(integer* N,       doublereal* X, integer* incX,       doublereal* Y, integer* incY);intdcopy_(integer* N,       doublereal* X, integer* incX,       doublereal* Y, integer* incY);intdaxpy_(integer* N,       doublereal* alpha,       doublereal* X, integer* incX,       doublereal* Y, integer* incY);intcswap_(integer* N,       complex* X, integer* incX,       complex* Y, integer* incY);intccopy_(integer* N,       complex* X, integer* incX,       complex* Y, integer* incY);intcaxpy_(integer* N,      complex* alpha,      complex* X, integer* incX,      complex* Y, integer* incY);intzswap_(integer* N,       doublecomplex* X, integer* incX,       doublecomplex* Y, integer* incY);intzcopy_(integer* N,       doublecomplex* X, integer* incX,       doublecomplex* Y, integer* incY);intzaxpy_(integer* N,       doublecomplex* alpha,       doublecomplex* X, integer* incX,       doublecomplex* Y, integer* incY);intsrotg_(real* a, real* b, real* c, real* s);intsrot_(integer* N,      real* X, integer* incX,      real* Y, integer* incY,      real* c, real* s);intcrotg_(complex* a, complex* b, complex* c, complex* s);intdrotg_(doublereal* a, doublereal* b, doublereal* c, doublereal* s);intdrot_(integer* N,      doublereal* X, integer* incX,      doublereal* Y, integer* incY,      doublereal* c, doublereal* s);intzrotg_(doublecomplex* a, doublecomplex* b, doublecomplex* c, doublecomplex* s);intsscal_(integer* N,       real* alpha,       real* X, integer* incX);intdscal_(integer* N,       doublereal* alpha,       doublereal* X, integer* incX);intcscal_(integer* N,       complex* alpha,       complex* X, integer* incX);intzscal_(integer* N,       doublecomplex* alpha,       doublecomplex* X, integer* incX);intcsscal_(integer* N,        real* alpha,        complex* X, integer* incX);intzdscal_(integer* N,        doublereal* alpha,        doublecomplex* X, integer* incX);intsgemv_(char* trans, integer* M, integer* N,       real* alpha,       real* A, integer* lda,       real* X, integer* incX,       real* beta,       real* Y, integer* incY);intsgbmv_(char *trans, integer *M, integer *N, integer *KL, integer *KU,        real *alpha,        real *A, integer *lda,        real *X, integer *incX,        real *beta,        real *Y, integer *incY);int strmv_(char* uplo, char *trans, char* diag, integer *N,         real *A, integer *lda,        real *X, integer *incX);intstbmv_(char* uplo, char* trans, char* diag, integer* N, integer* K,       real* A, integer* lda,       real* X, integer* incX);intstpmv_(char* uplo, char* trans, char* diag, integer* N,        real* Ap,        real* X, integer* incX);intstrsv_(char* uplo, char* trans, char* diag, integer* N,       real* A, integer* lda,       real* X, integer* incX);intstbsv_(char* uplo, char* trans, char* diag, integer* N, integer* K,       real* A, integer* lda,        real* X, integer* incX);intstpsv_(char* uplo, char* trans, char* diag, integer* N,        real* Ap,        real* X, integer* incX);intdgemv_(char* trans, integer* M, integer* N,       doublereal* alpha,       doublereal* A, integer* lda,       doublereal* X, integer* incX,       doublereal* beta,       doublereal* Y, integer* incY);int dgbmv_(char *trans, integer *M, integer *N, integer *KL, integer *KU,        doublereal *alpha,        doublereal *A, integer *lda,        doublereal *X, integer *incX,        doublereal *beta,        doublereal *Y, integer *incY);int dtrmv_(char* uplo, char *trans, char* diag, integer *N,         doublereal *A, integer *lda,        doublereal *X, integer *incX);intdtbmv_(char* uplo, char* trans, char* diag, integer* N, integer* K,       doublereal* A, integer* lda,       doublereal* X, integer* incX);intdtpmv_(char* uplo, char* trans, char* diag, integer* N,        doublereal* Ap,        doublereal* X, integer* incX);intdtrsv_(char* uplo, char* trans, char* diag, integer* N,       doublereal* A, integer* lda,       doublereal* X, integer* incX);intdtbsv_(char* uplo, char* trans, char* diag, integer* N, integer* K,       doublereal* A, integer* lda,        doublereal* X, integer* incX);intdtpsv_(char* uplo, char* trans, char* diag, integer* N,        doublereal* Ap,        doublereal* X, integer* incX);intcgemv_(char* trans, integer* M, integer* N,       complex* alpha,       complex* A, integer* lda,       complex* X, integer* incX,       complex* beta,       complex* Y, integer* incY);int cgbmv_(char *trans, integer *M, integer *N, integer *KL, integer *KU,        complex *alpha,        complex *A, integer *lda,        complex *X, integer *incX,        complex *beta,        complex *Y, integer *incY);int ctrmv_(char* uplo, char *trans, char* diag, integer *N,         complex *A, integer *lda,        complex *X, integer *incX);intctbmv_(char* uplo, char* trans, char* diag, integer* N, integer* K,       complex* A, integer* lda,       complex* X, integer* incX);intctpmv_(char* uplo, char* trans, char* diag, integer* N,        complex* Ap,        complex* X, integer* incX);intctrsv_(char* uplo, char* trans, char* diag, integer* N,       complex* A, integer* lda,       complex* X, integer* incX);intctbsv_(char* uplo, char* trans, char* diag, integer* N, integer* K,       complex* A, integer* lda,        complex* X, integer* incX);intctpsv_(char* uplo, char* trans, char* diag, integer* N,        complex* Ap,        complex* X, integer* incX);intzgemv_(char* trans, integer* M, integer* N,       doublecomplex* alpha,       doublecomplex* A, integer* lda,       doublecomplex* X, integer* incX,       doublecomplex* beta,       doublecomplex* Y, integer* incY);int zgbmv_(char *trans, integer *M, integer *N, integer *KL, integer *KU,        doublecomplex *alpha,        doublecomplex *A, integer *lda,        doublecomplex *X, integer *incX,        doublecomplex *beta,        doublecomplex *Y, integer *incY);int ztrmv_(char* uplo, char *trans, char* diag, integer *N,         doublecomplex *A, integer *lda,        doublecomplex *X, integer *incX);intztbmv_(char* uplo, char* trans, char* diag, integer* N, integer* K,       doublecomplex* A, integer* lda,       doublecomplex* X, integer* incX); void  ztpmv_(char* uplo, char* trans, char* diag, integer* N,       doublecomplex* Ap,       doublecomplex* X, integer* incX);intztrsv_(char* uplo, char* trans, char* diag, integer* N,       doublecomplex* A, integer* lda,       doublecomplex* X, integer* incX);intztbsv_(char* uplo, char* trans, char* diag, integer* N, integer* K,       doublecomplex* A, integer* lda,        doublecomplex* X, integer* incX);intztpsv_(char* uplo, char* trans, char* diag, integer* N,        doublecomplex* Ap,        doublecomplex* X, integer* incX);intssymv_(char* uplo, integer* N,       real* alpha,       real* A, integer* lda,       real* X, integer* incX,       real* beta,       real* Y, integer* incY);int ssbmv_(char* uplo, integer* N, integer* K,       real* alpha,       real* A, integer* lda,       real* X, integer* incX,       real* beta,       real* Y, integer* incY);intsspmv_(char* uplo, integer* N,       real* alpha,       real* Ap,       real* X, integer* incX,       real* beta,       real* Y, integer* incY);intsger_(integer* M, integer* N,      real* alpha,      real* X, integer* incX,      real* Y, integer* incY,      real* A, integer* lda);intssyr_(char* uplo, integer* N,      real* alpha,      real* X, integer* incX,      real* A, integer* lda);intsspr_(char* uplo, integer* N,      real* alpha,      real* X, integer* incX,      real* Ap);intssyr2_(char* uplo, integer* N,       real* alpha,       real* X, integer* incX,       real* Y, integer* incY,       real* A, integer* lda);intsspr2_(char* uplo, integer* N,       real* alpha,        real* X, integer* incX,       real* Y, integer* incY,       real* A);intdsymv_(char* uplo, integer* N,       doublereal* alpha,       doublereal* A, integer* lda,       doublereal* X, integer* incX,       doublereal* beta,       doublereal* Y, integer* incY);int dsbmv_(char* uplo, integer* N, integer* K,       doublereal* alpha,       doublereal* A, integer* lda,       doublereal* X, integer* incX,       doublereal* beta,       doublereal* Y, integer* incY);intdspmv_(char* uplo, integer* N,       doublereal* alpha,       doublereal* Ap,       doublereal* X, integer* incX,       doublereal* beta,       doublereal* Y, integer* incY);intdger_(integer* M, integer* N,      doublereal* alpha,      doublereal* X, integer* incX,      doublereal* Y, integer* incY,      doublereal* A, integer* lda);intdsyr_(char* uplo, integer* N,      doublereal* alpha,      doublereal* X, integer* incX,      doublereal* A, integer* lda);intdspr_(char* uplo, integer* N,      doublereal* alpha,      doublereal* X, integer* incX,      doublereal* Ap);intdsyr2_(char* uplo, integer* N,       doublereal* alpha,       doublereal* X, integer* incX,       doublereal* Y, integer* incY,       doublereal* A, integer* lda);intdspr2_(char* uplo, integer* N,       doublereal* alpha,        doublereal* X, integer* incX,       doublereal* Y, integer* incY,       doublereal* A);intchemv_(char* uplo, integer* N,       complex* alpha,       complex* A, integer* lda,       complex* X, integer* incX,       complex* beta,       complex* Y, integer* incY);intchbmv_(char* uplo, integer* N, integer* K,       complex* alpha,       complex* A, integer* lda,       complex* X, integer* incX,       complex* beta,       complex* Y, integer* incY);intchpmv_(char* uplo, integer* N,        complex* alpha,       complex* Ap,        complex* X, integer* incX,       complex* beta,       complex* Y, integer* incY);intcgeru_(integer* M, integer* N,       complex* alpha,       complex* X, integer* incX,       complex* Y, integer* incY,       complex* A, integer* lda);intcgerc_(integer* M, integer* N,       complex* alpha,       complex* X, integer* incX,       complex* Y, integer* incY,       complex* A, integer* lda);intcher_(char* uplo, integer* N,      real* alpha,      complex* X, integer* incX,      complex* A, integer* lda);intchpr_(char* uplo, integer* N,      real* alpha,      complex* X, integer* incX,      complex* Ap);intcher2_(char* uplo, integer* N,       complex* alpha,       complex* X, integer* incX,       complex* Y, integer* incY,       complex* A, integer* lda);intchpr2_(char* uplo, integer* N,       complex* alpha,       complex* X, integer* incX,       complex* Y, integer* incY,       complex* Ap);intzhemv_(char* uplo, integer* N,       doublecomplex* alpha,       doublecomplex* A, integer* lda,       doublecomplex* X, integer* incX,       doublecomplex* beta,       doublecomplex* Y, integer* incY);intzhbmv_(char* uplo, integer* N, integer* K,       doublecomplex* alpha,       doublecomplex* A, integer* lda,       doublecomplex* X, integer* incX,       doublecomplex* beta,       doublecomplex* Y, integer* incY);intzhpmv_(char* uplo, integer* N,        doublecomplex* alpha,       doublecomplex* Ap,        doublecomplex* X, integer* incX,       doublecomplex* beta,       doublecomplex* Y, integer* incY);intzgeru_(integer* M, integer* N,       doublecomplex* alpha,       doublecomplex* X, integer* incX,       doublecomplex* Y, integer* incY,       doublecomplex* A, integer* lda);intzgerc_(integer* M, integer* N,       doublecomplex* alpha,       doublecomplex* X, integer* incX,       doublecomplex* Y, integer* incY,       doublecomplex* A, integer* lda);intzher_(char* uplo, integer* N,      doublereal* alpha,      doublecomplex* X, integer* incX,      doublecomplex* A, integer* lda);intzhpr_(char* uplo, integer* N,      doublereal* alpha,      doublecomplex* X, integer* incX,      doublecomplex* Ap);intzher2_(char* uplo, integer* N,       doublecomplex* alpha,       doublecomplex* X, integer* incX,       doublecomplex* Y, integer* incY,       doublecomplex* A, integer* lda);intzhpr2_(char* uplo, integer* N,       doublecomplex* alpha,       doublecomplex* X, integer* incX,       doublecomplex* Y, integer* incY,       doublecomplex* Ap);intsgemm_(char* transA, char* transB, integer* M, integer* N, integer* K,       real* alpha,       real* A, integer* lda,       real* B, integer* ldb,       real* beta,       real* C, integer* ldc);intssymm_(char* side, char* uplo, integer* M, integer* N,       real* alpha,       real* A, integer* lda,       real* B, integer* ldb,       real* beta,       real* C, integer* ldc);intssyrk_(char* uplo, char* trans, integer* N, integer* K,       real* alpha,       real* A, integer* lda,       real* beta,       real* C, integer* ldc);intssyr2k_(char* uplo, char* trans, integer* N, integer* K,        real* alpha,        real* A, integer* lda,        real* B, integer* ldb,        real* beta,        real* C, integer* ldc);intstrmm_(char* side, char* uplo, char* trans, char* diag,        integer* M, integer* N,       real* alpha,       real* A, integer* lda,       real* B, integer* ldb);int strsm_(char* side, char* uplo, char* trans, char* diag,       integer* M, integer* N,       real* alpha,       real* A, integer* lda,       real* B, integer* ldb);intdgemm_(char* transA, char* transB, integer* M, integer* N, integer* K,       doublereal* alpha,       doublereal* A, integer* lda,       doublereal* B, integer* ldb,       doublereal* beta,       doublereal* C, integer* ldc);intdsymm_(char* side, char* uplo, integer* M, integer* N,       doublereal* alpha,       doublereal* A, integer* lda,       doublereal* B, integer* ldb,       doublereal* beta,       doublereal* C, integer* ldc);intdsyrk_(char* uplo, char* trans, integer* N, integer* K,       doublereal* alpha,       doublereal* A, integer* lda,       doublereal* beta,       doublereal* C, integer* ldc);intdsyr2k_(char* uplo, char* trans, integer* N, integer* K,        doublereal* alpha,        doublereal* A, integer* lda,        doublereal* B, integer* ldb,        doublereal* beta,        doublereal* C, integer* ldc);intdtrmm_(char* side, char* uplo, char* trans, char* diag,        integer* M, integer* N,       doublereal* alpha,       doublereal* A, integer* lda,       doublereal* B, integer* ldb);int dtrsm_(char* side, char* uplo, char* trans, char* diag,       integer* M, integer* N,       doublereal* alpha,       doublereal* A, integer* lda,       doublereal* B, integer* ldb);intcgemm_(char* transA, char* transB, integer* M, integer* N, integer* K,       complex* alpha,       complex* A, integer* lda,       complex* B, integer* ldb,       complex* beta,       complex* C, integer* ldc);intcsymm_(char* side, char* uplo, integer* M, integer* N,       complex* alpha,       complex* A, integer* lda,       complex* B, integer* ldb,       complex* beta,       complex* C, integer* ldc);intcsyrk_(char* uplo, char* trans, integer* N, integer* K,       complex* alpha,       complex* A, integer* lda,       complex* beta,       complex* C, integer* ldc);intcsyr2k_(char* uplo, char* trans, integer* N, integer* K,        complex* alpha,        complex* A, integer* lda,        complex* B, integer* ldb,        complex* beta,        complex* C, integer* ldc);intctrmm_(char* side, char* uplo, char* trans, char* diag,        integer* M, integer* N,       complex* alpha,       complex* A, integer* lda,       complex* B, integer* ldb);int ctrsm_(char* side, char* uplo, char* trans, char* diag,       integer* M, integer* N,       complex* alpha,       complex* A, integer* lda,       complex* B, integer* ldb);intzgemm_(char* transA, char* transB, integer* M, integer* N, integer* K,       doublecomplex* alpha,       doublecomplex* A, integer* lda,       doublecomplex* B, integer* ldb,       doublecomplex* beta,       doublecomplex* C, integer* ldc);intzsymm_(char* side, char* uplo, integer* M, integer* N,       doublecomplex* alpha,       doublecomplex* A, integer* lda,       doublecomplex* B, integer* ldb,       doublecomplex* beta,       doublecomplex* C, integer* ldc);intzsyrk_(char* uplo, char* trans, integer* N, integer* K,       doublecomplex* alpha,       doublecomplex* A, integer* lda,       doublecomplex* beta,       doublecomplex* C, integer* ldc);intzsyr2k_(char* uplo, char* trans, integer* N, integer* K,        doublecomplex* alpha,        doublecomplex* A, integer* lda,        doublecomplex* B, integer* ldb,        doublecomplex* beta,        doublecomplex* C, integer* ldc);intztrmm_(char* side, char* uplo, char* trans, char* diag,        integer* M, integer* N,       doublecomplex* alpha,       doublecomplex* A, integer* lda,       doublecomplex* B, integer* ldb);int ztrsm_(char* side, char* uplo, char* trans, char* diag,       integer* M, integer* N,       doublecomplex* alpha,       doublecomplex* A, integer* lda,       doublecomplex* B, integer* ldb);intchemm_(char* side, char* uplo, integer* M, integer* N,       complex* alpha,       complex* A, integer* lda,       complex* B, integer* ldb,       complex* beta,       complex* C, integer* ldc);intcherk_(char* uplo, char* trans, integer* N, integer* K,       real* alpha,       complex* A, integer* lda,       real* beta,       complex* C, integer* ldc);intcher2k_(char* uplo, char* trans, integer* N, integer* K,        complex* alpha,        complex* A, integer* lda,        complex* B, integer* ldb,        real* beta,        complex* C, integer* ldc);intzhemm_(char* side, char* uplo, integer* M, integer* N,       doublecomplex* alpha,       doublecomplex* A, integer* lda,       doublecomplex* B, integer* ldb,       doublecomplex* beta,       doublecomplex* C, integer* ldc);intzherk_(char* uplo, char* trans, integer* N, integer* K,       doublereal* alpha,       doublecomplex* A, integer* lda,       doublereal* beta,       doublecomplex* C, integer* ldc);intzher2k_(char* uplo, char* trans, integer* N, integer* K,        doublecomplex* alpha,        doublecomplex* A, integer* lda,        doublecomplex* B, integer* ldb,        doublereal* beta,        doublecomplex* C, integer* ldc);
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