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 BLAS References and Further Reading).

Level 1¶

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

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

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

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

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

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

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

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

float cblas_snrm2(const int N, const float *x, const int incx)¶

float cblas_sasum(const int N, const float *x, const int incx)¶

double cblas_dnrm2(const int N, const double *x, const int incx)¶

double cblas_dasum(const int N, const double *x, const int incx)¶

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

void cblas_srotg(float *a, float *b, float *c, float *s)¶

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

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

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

void cblas_drotg(double *a, double *b, double *c, double *s)¶

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

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

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

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

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

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

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

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

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

Level 2¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

Level 3¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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)¶

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

Examples¶

The following program computes the product of two matrices using the Level-3 BLAS function SGEMM,

$\left( \begin{array}{ccc} 0.11 & 0.12 & 0.13\\ 0.21 & 0.22 & 0.23 \end{array} \right) \left( \begin{array}{cc} 1011 & 1012\\ 1021 & 1022\\ 1031 & 1032 \end{array} \right) = \left( \begin{array}{cc} 367.76 & 368.12\\ 674.06 & 674.72 \end{array} \right)$

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,

[ 367.76, 368.12
  674.06, 674.72 ]