D. GSL CBLAS Library

The prototypes for the low-level CBLAS functions are declared in the file gsl_cblas.h. For the definition of the functions consult the documentation available from Netlib (see section References and Further Reading).

D.1 Level 1

Function: float cblas_sdsdot (const int N, const float alpha, const float * x, const int incx, const float * y, const int incy)

Function: double cblas_dsdot (const int N, const float * x, const int incx, const float * y, const int incy)

Function: float cblas_sdot (const int N, const float * x, const int incx, const float * y, const int incy)

Function: double cblas_ddot (const int N, const double * x, const int incx, const double * y, const int incy)

Function: void cblas_cdotu_sub (const int N, const void * x, const int incx, const void * y, const int incy, void * dotu)

Function: void cblas_cdotc_sub (const int N, const void * x, const int incx, const void * y, const int incy, void * dotc)

Function: void cblas_zdotu_sub (const int N, const void * x, const int incx, const void * y, const int incy, void * dotu)

Function: void cblas_zdotc_sub (const int N, const void * x, const int incx, const void * y, const int incy, void * dotc)

Function: float cblas_snrm2 (const int N, const float * x, const int incx)

Function: float cblas_sasum (const int N, const float * x, const int incx)

Function: double cblas_dnrm2 (const int N, const double * x, const int incx)

Function: double cblas_dasum (const int N, const double * x, const int incx)

Function: float cblas_scnrm2 (const int N, const void * x, const int incx)

Function: float cblas_scasum (const int N, const void * x, const int incx)

Function: double cblas_dznrm2 (const int N, const void * x, const int incx)

Function: double cblas_dzasum (const int N, const void * x, const int incx)

Function: CBLAS_INDEX cblas_isamax (const int N, const float * x, const int incx)

Function: CBLAS_INDEX cblas_idamax (const int N, const double * x, const int incx)

Function: CBLAS_INDEX cblas_icamax (const int N, const void * x, const int incx)

Function: CBLAS_INDEX cblas_izamax (const int N, const void * x, const int incx)

Function: void cblas_sswap (const int N, float * x, const int incx, float * y, const int incy)

Function: void cblas_scopy (const int N, const float * x, const int incx, float * y, const int incy)

Function: void cblas_saxpy (const int N, const float alpha, const float * x, const int incx, float * y, const int incy)

Function: void cblas_dswap (const int N, double * x, const int incx, double * y, const int incy)

Function: void cblas_dcopy (const int N, const double * x, const int incx, double * y, const int incy)

Function: void cblas_daxpy (const int N, const double alpha, const double * x, const int incx, double * y, const int incy)

Function: void cblas_cswap (const int N, void * x, const int incx, void * y, const int incy)

Function: void cblas_ccopy (const int N, const void * x, const int incx, void * y, const int incy)

Function: void cblas_caxpy (const int N, const void * alpha, const void * x, const int incx, void * y, const int incy)

Function: void cblas_zswap (const int N, void * x, const int incx, void * y, const int incy)

Function: void cblas_zcopy (const int N, const void * x, const int incx, void * y, const int incy)

Function: void cblas_zaxpy (const int N, const void * alpha, const void * x, const int incx, void * y, const int incy)

Function: void cblas_srotg (float * a, float * b, float * c, float * s)

Function: void cblas_srotmg (float * d1, float * d2, float * b1, const float b2, float * P)

Function: void cblas_srot (const int N, float * x, const int incx, float * y, const int incy, const float c, const float s)

Function: void cblas_srotm (const int N, float * x, const int incx, float * y, const int incy, const float * P)

Function: void cblas_drotg (double * a, double * b, double * c, double * s)

Function: void cblas_drotmg (double * d1, double * d2, double * b1, const double b2, double * P)

Function: void cblas_drot (const int N, double * x, const int incx, double * y, const int incy, const double c, const double s)

Function: void cblas_drotm (const int N, double * x, const int incx, double * y, const int incy, const double * P)

Function: void cblas_sscal (const int N, const float alpha, float * x, const int incx)

Function: void cblas_dscal (const int N, const double alpha, double * x, const int incx)

Function: void cblas_cscal (const int N, const void * alpha, void * x, const int incx)

Function: void cblas_zscal (const int N, const void * alpha, void * x, const int incx)

Function: void cblas_csscal (const int N, const float alpha, void * x, const int incx)

Function: void cblas_zdscal (const int N, const double alpha, void * x, const int incx)

D.2 Level 2

Function: void cblas_sgemv (const enum CBLAS_ORDER order, const enum CBLAS_TRANSPOSE TransA, const int M, const int N, const float alpha, const float * A, const int lda, const float * x, const int incx, const float beta, float * y, const int incy)

Function: void cblas_sgbmv (const enum CBLAS_ORDER order, const enum CBLAS_TRANSPOSE TransA, const int M, const int N, const int KL, const int KU, const float alpha, const float * A, const int lda, const float * x, const int incx, const float beta, float * y, const int incy)

Function: void cblas_strmv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const int N, const float * A, const int lda, float * x, const int incx)

Function: void cblas_stbmv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const int N, const int K, const float * A, const int lda, float * x, const int incx)

Function: void cblas_stpmv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const int N, const float * Ap, float * x, const int incx)

Function: void cblas_strsv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const int N, const float * A, const int lda, float * x, const int incx)

Function: void cblas_stbsv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const int N, const int K, const float * A, const int lda, float * x, const int incx)

Function: void cblas_stpsv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const int N, const float * Ap, float * x, const int incx)

Function: void cblas_dgemv (const enum CBLAS_ORDER order, const enum CBLAS_TRANSPOSE TransA, const int M, const int N, const double alpha, const double * A, const int lda, const double * x, const int incx, const double beta, double * y, const int incy)

Function: void cblas_dgbmv (const enum CBLAS_ORDER order, const enum CBLAS_TRANSPOSE TransA, const int M, const int N, const int KL, const int KU, const double alpha, const double * A, const int lda, const double * x, const int incx, const double beta, double * y, const int incy)

Function: void cblas_dtrmv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const int N, const double * A, const int lda, double * x, const int incx)

Function: void cblas_dtbmv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const int N, const int K, const double * A, const int lda, double * x, const int incx)

Function: void cblas_dtpmv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const int N, const double * Ap, double * x, const int incx)

Function: void cblas_dtrsv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const int N, const double * A, const int lda, double * x, const int incx)

Function: void cblas_dtbsv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const int N, const int K, const double * A, const int lda, double * x, const int incx)

Function: void cblas_dtpsv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const int N, const double * Ap, double * x, const int incx)

Function: void cblas_cgemv (const enum CBLAS_ORDER order, const enum CBLAS_TRANSPOSE TransA, const int M, const int N, const void * alpha, const void * A, const int lda, const void * x, const int incx, const void * beta, void * y, const int incy)

Function: void cblas_cgbmv (const enum CBLAS_ORDER order, const enum CBLAS_TRANSPOSE TransA, const int M, const int N, const int KL, const int KU, const void * alpha, const void * A, const int lda, const void * x, const int incx, const void * beta, void * y, const int incy)

Function: void cblas_ctrmv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const int N, const void * A, const int lda, void * x, const int incx)

Function: void cblas_ctbmv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const int N, const int K, const void * A, const int lda, void * x, const int incx)

Function: void cblas_ctpmv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const int N, const void * Ap, void * x, const int incx)

Function: void cblas_ctrsv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const int N, const void * A, const int lda, void * x, const int incx)

Function: void cblas_ctbsv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const int N, const int K, const void * A, const int lda, void * x, const int incx)

Function: void cblas_ctpsv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const int N, const void * Ap, void * x, const int incx)

Function: void cblas_zgemv (const enum CBLAS_ORDER order, const enum CBLAS_TRANSPOSE TransA, const int M, const int N, const void * alpha, const void * A, const int lda, const void * x, const int incx, const void * beta, void * y, const int incy)

Function: void cblas_zgbmv (const enum CBLAS_ORDER order, const enum CBLAS_TRANSPOSE TransA, const int M, const int N, const int KL, const int KU, const void * alpha, const void * A, const int lda, const void * x, const int incx, const void * beta, void * y, const int incy)

Function: void cblas_ztrmv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const int N, const void * A, const int lda, void * x, const int incx)

Function: void cblas_ztbmv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const int N, const int K, const void * A, const int lda, void * x, const int incx)

Function: void cblas_ztpmv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const int N, const void * Ap, void * x, const int incx)

Function: void cblas_ztrsv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const int N, const void * A, const int lda, void * x, const int incx)

Function: void cblas_ztbsv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const int N, const int K, const void * A, const int lda, void * x, const int incx)

Function: void cblas_ztpsv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const int N, const void * Ap, void * x, const int incx)

Function: void cblas_ssymv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const int N, const float alpha, const float * A, const int lda, const float * x, const int incx, const float beta, float * y, const int incy)

Function: void cblas_ssbmv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const int N, const int K, const float alpha, const float * A, const int lda, const float * x, const int incx, const float beta, float * y, const int incy)

Function: void cblas_sspmv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const int N, const float alpha, const float * Ap, const float * x, const int incx, const float beta, float * y, const int incy)

Function: void cblas_sger (const enum CBLAS_ORDER order, const int M, const int N, const float alpha, const float * x, const int incx, const float * y, const int incy, float * A, const int lda)

Function: void cblas_ssyr (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const int N, const float alpha, const float * x, const int incx, float * A, const int lda)

Function: void cblas_sspr (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const int N, const float alpha, const float * x, const int incx, float * Ap)

Function: void cblas_ssyr2 (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const int N, const float alpha, const float * x, const int incx, const float * y, const int incy, float * A, const int lda)

Function: void cblas_sspr2 (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const int N, const float alpha, const float * x, const int incx, const float * y, const int incy, float * A)

Function: void cblas_dsymv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const int N, const double alpha, const double * A, const int lda, const double * x, const int incx, const double beta, double * y, const int incy)

Function: void cblas_dsbmv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const int N, const int K, const double alpha, const double * A, const int lda, const double * x, const int incx, const double beta, double * y, const int incy)

Function: void cblas_dspmv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const int N, const double alpha, const double * Ap, const double * x, const int incx, const double beta, double * y, const int incy)

Function: void cblas_dger (const enum CBLAS_ORDER order, const int M, const int N, const double alpha, const double * x, const int incx, const double * y, const int incy, double * A, const int lda)

Function: void cblas_dsyr (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const int N, const double alpha, const double * x, const int incx, double * A, const int lda)

Function: void cblas_dspr (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const int N, const double alpha, const double * x, const int incx, double * Ap)

Function: void cblas_dsyr2 (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const int N, const double alpha, const double * x, const int incx, const double * y, const int incy, double * A, const int lda)

Function: void cblas_dspr2 (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const int N, const double alpha, const double * x, const int incx, const double * y, const int incy, double * A)

Function: void cblas_chemv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const int N, const void * alpha, const void * A, const int lda, const void * x, const int incx, const void * beta, void * y, const int incy)

Function: void cblas_chbmv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const int N, const int K, const void * alpha, const void * A, const int lda, const void * x, const int incx, const void * beta, void * y, const int incy)

Function: void cblas_chpmv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const int N, const void * alpha, const void * Ap, const void * x, const int incx, const void * beta, void * y, const int incy)

Function: void cblas_cgeru (const enum CBLAS_ORDER order, const int M, const int N, const void * alpha, const void * x, const int incx, const void * y, const int incy, void * A, const int lda)

Function: void cblas_cgerc (const enum CBLAS_ORDER order, const int M, const int N, const void * alpha, const void * x, const int incx, const void * y, const int incy, void * A, const int lda)

Function: void cblas_cher (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const int N, const float alpha, const void * x, const int incx, void * A, const int lda)

Function: void cblas_chpr (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const int N, const float alpha, const void * x, const int incx, void * A)

Function: void cblas_cher2 (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const int N, const void * alpha, const void * x, const int incx, const void * y, const int incy, void * A, const int lda)

Function: void cblas_chpr2 (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const int N, const void * alpha, const void * x, const int incx, const void * y, const int incy, void * Ap)

Function: void cblas_zhemv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const int N, const void * alpha, const void * A, const int lda, const void * x, const int incx, const void * beta, void * y, const int incy)

Function: void cblas_zhbmv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const int N, const int K, const void * alpha, const void * A, const int lda, const void * x, const int incx, const void * beta, void * y, const int incy)

Function: void cblas_zhpmv (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const int N, const void * alpha, const void * Ap, const void * x, const int incx, const void * beta, void * y, const int incy)

Function: void cblas_zgeru (const enum CBLAS_ORDER order, const int M, const int N, const void * alpha, const void * x, const int incx, const void * y, const int incy, void * A, const int lda)

Function: void cblas_zgerc (const enum CBLAS_ORDER order, const int M, const int N, const void * alpha, const void * x, const int incx, const void * y, const int incy, void * A, const int lda)

Function: void cblas_zher (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const int N, const double alpha, const void * x, const int incx, void * A, const int lda)

Function: void cblas_zhpr (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const int N, const double alpha, const void * x, const int incx, void * A)

Function: void cblas_zher2 (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const int N, const void * alpha, const void * x, const int incx, const void * y, const int incy, void * A, const int lda)

Function: void cblas_zhpr2 (const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const int N, const void * alpha, const void * x, const int incx, const void * y, const int incy, void * Ap)

D.3 Level 3

Function: void cblas_sgemm (const enum CBLAS_ORDER Order, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_TRANSPOSE TransB, const int M, const int N, const int K, const float alpha, const float * A, const int lda, const float * B, const int ldb, const float beta, float * C, const int ldc)

Function: void cblas_ssymm (const enum CBLAS_ORDER Order, const enum CBLAS_SIDE Side, const enum CBLAS_UPLO Uplo, const int M, const int N, const float alpha, const float * A, const int lda, const float * B, const int ldb, const float beta, float * C, const int ldc)

Function: void cblas_ssyrk (const enum CBLAS_ORDER Order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE Trans, const int N, const int K, const float alpha, const float * A, const int lda, const float beta, float * C, const int ldc)

Function: void cblas_ssyr2k (const enum CBLAS_ORDER Order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE Trans, const int N, const int K, const float alpha, const float * A, const int lda, const float * B, const int ldb, const float beta, float * C, const int ldc)

Function: void cblas_strmm (const enum CBLAS_ORDER Order, const enum CBLAS_SIDE Side, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const int M, const int N, const float alpha, const float * A, const int lda, float * B, const int ldb)

Function: void cblas_strsm (const enum CBLAS_ORDER Order, const enum CBLAS_SIDE Side, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const int M, const int N, const float alpha, const float * A, const int lda, float * B, const int ldb)

Function: void cblas_dgemm (const enum CBLAS_ORDER Order, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_TRANSPOSE TransB, const int M, const int N, const int K, const double alpha, const double * A, const int lda, const double * B, const int ldb, const double beta, double * C, const int ldc)

Function: void cblas_dsymm (const enum CBLAS_ORDER Order, const enum CBLAS_SIDE Side, const enum CBLAS_UPLO Uplo, const int M, const int N, const double alpha, const double * A, const int lda, const double * B, const int ldb, const double beta, double * C, const int ldc)

Function: void cblas_dsyrk (const enum CBLAS_ORDER Order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE Trans, const int N, const int K, const double alpha, const double * A, const int lda, const double beta, double * C, const int ldc)

Function: void cblas_dsyr2k (const enum CBLAS_ORDER Order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE Trans, const int N, const int K, const double alpha, const double * A, const int lda, const double * B, const int ldb, const double beta, double * C, const int ldc)

Function: void cblas_dtrmm (const enum CBLAS_ORDER Order, const enum CBLAS_SIDE Side, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const int M, const int N, const double alpha, const double * A, const int lda, double * B, const int ldb)

Function: void cblas_dtrsm (const enum CBLAS_ORDER Order, const enum CBLAS_SIDE Side, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const int M, const int N, const double alpha, const double * A, const int lda, double * B, const int ldb)

Function: void cblas_cgemm (const enum CBLAS_ORDER Order, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_TRANSPOSE TransB, const int M, const int N, const int K, const void * alpha, const void * A, const int lda, const void * B, const int ldb, const void * beta, void * C, const int ldc)

Function: void cblas_csymm (const enum CBLAS_ORDER Order, const enum CBLAS_SIDE Side, const enum CBLAS_UPLO Uplo, const int M, const int N, const void * alpha, const void * A, const int lda, const void * B, const int ldb, const void * beta, void * C, const int ldc)

Function: void cblas_csyrk (const enum CBLAS_ORDER Order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE Trans, const int N, const int K, const void * alpha, const void * A, const int lda, const void * beta, void * C, const int ldc)

Function: void cblas_csyr2k (const enum CBLAS_ORDER Order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE Trans, const int N, const int K, const void * alpha, const void * A, const int lda, const void * B, const int ldb, const void * beta, void * C, const int ldc)

Function: void cblas_ctrmm (const enum CBLAS_ORDER Order, const enum CBLAS_SIDE Side, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const int M, const int N, const void * alpha, const void * A, const int lda, void * B, const int ldb)

Function: void cblas_ctrsm (const enum CBLAS_ORDER Order, const enum CBLAS_SIDE Side, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const int M, const int N, const void * alpha, const void * A, const int lda, void * B, const int ldb)

Function: void cblas_zgemm (const enum CBLAS_ORDER Order, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_TRANSPOSE TransB, const int M, const int N, const int K, const void * alpha, const void * A, const int lda, const void * B, const int ldb, const void * beta, void * C, const int ldc)

Function: void cblas_zsymm (const enum CBLAS_ORDER Order, const enum CBLAS_SIDE Side, const enum CBLAS_UPLO Uplo, const int M, const int N, const void * alpha, const void * A, const int lda, const void * B, const int ldb, const void * beta, void * C, const int ldc)

Function: void cblas_zsyrk (const enum CBLAS_ORDER Order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE Trans, const int N, const int K, const void * alpha, const void * A, const int lda, const void * beta, void * C, const int ldc)

Function: void cblas_zsyr2k (const enum CBLAS_ORDER Order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE Trans, const int N, const int K, const void * alpha, const void * A, const int lda, const void * B, const int ldb, const void * beta, void * C, const int ldc)

Function: void cblas_ztrmm (const enum CBLAS_ORDER Order, const enum CBLAS_SIDE Side, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const int M, const int N, const void * alpha, const void * A, const int lda, void * B, const int ldb)

Function: void cblas_ztrsm (const enum CBLAS_ORDER Order, const enum CBLAS_SIDE Side, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const int M, const int N, const void * alpha, const void * A, const int lda, void * B, const int ldb)

Function: void cblas_chemm (const enum CBLAS_ORDER Order, const enum CBLAS_SIDE Side, const enum CBLAS_UPLO Uplo, const int M, const int N, const void * alpha, const void * A, const int lda, const void * B, const int ldb, const void * beta, void * C, const int ldc)

Function: void cblas_cherk (const enum CBLAS_ORDER Order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE Trans, const int N, const int K, const float alpha, const void * A, const int lda, const float beta, void * C, const int ldc)

Function: void cblas_cher2k (const enum CBLAS_ORDER Order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE Trans, const int N, const int K, const void * alpha, const void * A, const int lda, const void * B, const int ldb, const float beta, void * C, const int ldc)

Function: void cblas_zhemm (const enum CBLAS_ORDER Order, const enum CBLAS_SIDE Side, const enum CBLAS_UPLO Uplo, const int M, const int N, const void * alpha, const void * A, const int lda, const void * B, const int ldb, const void * beta, void * C, const int ldc)

Function: void cblas_zherk (const enum CBLAS_ORDER Order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE Trans, const int N, const int K, const double alpha, const void * A, const int lda, const double beta, void * C, const int ldc)

Function: void cblas_zher2k (const enum CBLAS_ORDER Order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE Trans, const int N, const int K, const void * alpha, const void * A, const int lda, const void * B, const int ldb, const double beta, void * C, const int ldc)

Function: void cblas_xerbla (int p, const char * rout, const char * form, ...)

D.4 Examples

The following program computes the product of two matrices using the Level-3 BLAS function SGEMM, The matrices are stored in row major order but could be stored in column major order if the first argument of the call to cblas_sgemm was changed to CblasColMajor.

#include <stdio.h>
#include <gsl/gsl_cblas.h>

int
main (void)
{
  int lda = 3;

  float A[] = { 0.11, 0.12, 0.13,
                0.21, 0.22, 0.23 };

  int ldb = 2;
  
  float B[] = { 1011, 1012,
                1021, 1022,
                1031, 1032 };

  int ldc = 2;

  float C[] = { 0.00, 0.00,
                0.00, 0.00 };

  /* Compute C = A B */

  cblas_sgemm (CblasRowMajor, 
               CblasNoTrans, CblasNoTrans, 2, 2, 3,
               1.0, A, lda, B, ldb, 0.0, C, ldc);

  printf ("[ %g, %g\n", C[0], C[1]);
  printf ("  %g, %g ]\n", C[2], C[3]);

  return 0;  
}

To compile the program use the following command line,

$ gcc -Wall demo.c -lgslcblas

There is no need to link with the main library -lgsl in this case as the CBLAS library is an independent unit. Here is the output from the program,

$ ./a.out
[ 367.76, 368.12
  674.06, 674.72 ]

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