gsl_blas.h

开放gsl矩阵运算

/*
 * Routines with C and Z prefixes only
 */

int  gsl_blas_chemv (CBLAS_UPLO_t Uplo,
                     const gsl_complex_float alpha,
                     const gsl_matrix_complex_float * A,
                     const gsl_vector_complex_float * X,
                     const gsl_complex_float beta,
                     gsl_vector_complex_float * Y);

int  gsl_blas_cgeru (const gsl_complex_float alpha,
                     const gsl_vector_complex_float * X,
                     const gsl_vector_complex_float * Y,
                     gsl_matrix_complex_float * A);

int  gsl_blas_cgerc (const gsl_complex_float alpha,
                     const gsl_vector_complex_float * X,
                     const gsl_vector_complex_float * Y,
                     gsl_matrix_complex_float * A);

int  gsl_blas_cher (CBLAS_UPLO_t Uplo,
                    float alpha,
                    const gsl_vector_complex_float * X,
                    gsl_matrix_complex_float * A);

int  gsl_blas_cher2 (CBLAS_UPLO_t Uplo,
                     const gsl_complex_float alpha,
                     const gsl_vector_complex_float * X,
                     const gsl_vector_complex_float * Y,
                     gsl_matrix_complex_float * A);

int  gsl_blas_zhemv (CBLAS_UPLO_t Uplo,
                     const gsl_complex alpha,
                     const gsl_matrix_complex * A,
                     const gsl_vector_complex * X,
                     const gsl_complex beta,
                     gsl_vector_complex * Y);

int  gsl_blas_zgeru (const gsl_complex alpha,
                     const gsl_vector_complex * X,
                     const gsl_vector_complex * Y,
                     gsl_matrix_complex * A);

int  gsl_blas_zgerc (const gsl_complex alpha,
                     const gsl_vector_complex * X,
                     const gsl_vector_complex * Y,
                     gsl_matrix_complex * A);

int  gsl_blas_zher (CBLAS_UPLO_t Uplo,
                    double alpha,
                    const gsl_vector_complex * X,
                    gsl_matrix_complex * A);

int  gsl_blas_zher2 (CBLAS_UPLO_t Uplo,
                     const gsl_complex alpha,
                     const gsl_vector_complex * X,
                     const gsl_vector_complex * Y,
                     gsl_matrix_complex * A);

/*
 * ===========================================================================
 * Prototypes for level 3 BLAS
 * ===========================================================================
 */

/*
 * Routines with standard 4 prefixes (S, D, C, Z)
 */
int  gsl_blas_sgemm (CBLAS_TRANSPOSE_t TransA,
                     CBLAS_TRANSPOSE_t TransB,
                     float alpha,
                     const gsl_matrix_float * A,
                     const gsl_matrix_float * B,
                     float beta,
                     gsl_matrix_float * C);

int  gsl_blas_ssymm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo,
                     float alpha,
                     const gsl_matrix_float * A,
                     const gsl_matrix_float * B,
                     float beta,
                     gsl_matrix_float * C);

int  gsl_blas_ssyrk (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans,
                     float alpha,
                     const gsl_matrix_float * A,
                     float beta,
                     gsl_matrix_float * C);

int  gsl_blas_ssyr2k (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans,
                      float alpha,
                      const gsl_matrix_float * A,
                      const gsl_matrix_float * B,
                      float beta,
                      gsl_matrix_float * C);

int  gsl_blas_strmm (CBLAS_SIDE_t Side,
                     CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA,
                     CBLAS_DIAG_t Diag,
                     float alpha,
                     const gsl_matrix_float * A,
                     gsl_matrix_float * B);

int  gsl_blas_strsm (CBLAS_SIDE_t Side,
                     CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA,
                     CBLAS_DIAG_t Diag,
                     float alpha,
                     const gsl_matrix_float * A,
                     gsl_matrix_float * B);

int  gsl_blas_dgemm (CBLAS_TRANSPOSE_t TransA,
                     CBLAS_TRANSPOSE_t TransB,
                     double alpha,
                     const gsl_matrix * A,
                     const gsl_matrix * B,
                     double beta,
                     gsl_matrix * C);

int  gsl_blas_dsymm (CBLAS_SIDE_t Side,
                     CBLAS_UPLO_t Uplo,
                     double alpha,
                     const gsl_matrix * A,
                     const gsl_matrix * B,
                     double beta,
                     gsl_matrix * C);

int  gsl_blas_dsyrk (CBLAS_UPLO_t Uplo,
                     CBLAS_TRANSPOSE_t Trans,
                     double alpha,
                     const gsl_matrix * A,
                     double beta,
                     gsl_matrix * C);

int  gsl_blas_dsyr2k (CBLAS_UPLO_t Uplo,
                      CBLAS_TRANSPOSE_t Trans,
                      double alpha,
                      const  gsl_matrix * A,
                      const  gsl_matrix * B,
                      double beta,
                      gsl_matrix * C);

int  gsl_blas_dtrmm (CBLAS_SIDE_t Side,
                     CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA,
                     CBLAS_DIAG_t Diag,
                     double alpha,
                     const gsl_matrix * A,
                     gsl_matrix * B);

int  gsl_blas_dtrsm (CBLAS_SIDE_t Side,
                     CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA,
                     CBLAS_DIAG_t Diag,
                     double alpha,
                     const gsl_matrix * A,
                     gsl_matrix * B);

int  gsl_blas_cgemm (CBLAS_TRANSPOSE_t TransA,
                     CBLAS_TRANSPOSE_t TransB,
                     const gsl_complex_float alpha,
                     const gsl_matrix_complex_float * A,
                     const gsl_matrix_complex_float * B,
                     const gsl_complex_float beta,
                     gsl_matrix_complex_float * C);

int  gsl_blas_csymm (CBLAS_SIDE_t Side,
                     CBLAS_UPLO_t Uplo,
                     const gsl_complex_float alpha,
                     const gsl_matrix_complex_float * A,
                     const gsl_matrix_complex_float * B,
                     const gsl_complex_float beta,
                     gsl_matrix_complex_float * C);

int  gsl_blas_csyrk (CBLAS_UPLO_t Uplo,
                     CBLAS_TRANSPOSE_t Trans,
                     const gsl_complex_float alpha,
                     const gsl_matrix_complex_float * A,
                     const gsl_complex_float beta,
                     gsl_matrix_complex_float * C);

int  gsl_blas_csyr2k (CBLAS_UPLO_t Uplo,
                      CBLAS_TRANSPOSE_t Trans,
                      const gsl_complex_float alpha,
                      const gsl_matrix_complex_float * A,
                      const gsl_matrix_complex_float * B,
                      const gsl_complex_float beta,
                      gsl_matrix_complex_float * C);

int  gsl_blas_ctrmm (CBLAS_SIDE_t Side,
                     CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA,
                     CBLAS_DIAG_t Diag,
                     const gsl_complex_float alpha,
                     const gsl_matrix_complex_float * A,
                     gsl_matrix_complex_float * B);

int  gsl_blas_ctrsm (CBLAS_SIDE_t Side,
                     CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA,
                     CBLAS_DIAG_t Diag,
                     const gsl_complex_float alpha,
                     const gsl_matrix_complex_float * A,
                     gsl_matrix_complex_float * B);

int  gsl_blas_zgemm (CBLAS_TRANSPOSE_t TransA,
                     CBLAS_TRANSPOSE_t TransB,
                     const gsl_complex alpha,
                     const gsl_matrix_complex * A,
                     const gsl_matrix_complex * B,
                     const gsl_complex beta,
                     gsl_matrix_complex * C);

int  gsl_blas_zsymm (CBLAS_SIDE_t Side,
                     CBLAS_UPLO_t Uplo,
                     const gsl_complex alpha,
                     const gsl_matrix_complex * A,
                     const gsl_matrix_complex * B,
                     const gsl_complex beta,
                     gsl_matrix_complex * C);

int  gsl_blas_zsyrk (CBLAS_UPLO_t Uplo,
                     CBLAS_TRANSPOSE_t Trans,
                     const gsl_complex alpha,
                     const gsl_matrix_complex * A,
                     const gsl_complex beta,
                     gsl_matrix_complex * C);

int  gsl_blas_zsyr2k (CBLAS_UPLO_t Uplo,
                      CBLAS_TRANSPOSE_t Trans,
                      const gsl_complex alpha,
                      const gsl_matrix_complex * A,
                      const gsl_matrix_complex * B,
                      const gsl_complex beta,
                      gsl_matrix_complex *C);

int  gsl_blas_ztrmm (CBLAS_SIDE_t Side,
                     CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA,
                     CBLAS_DIAG_t Diag,
                     const gsl_complex alpha,
                     const gsl_matrix_complex * A,
                     gsl_matrix_complex * B);

int  gsl_blas_ztrsm (CBLAS_SIDE_t Side,
                     CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA,
                     CBLAS_DIAG_t Diag,
                     const gsl_complex alpha,
                     const gsl_matrix_complex * A,
                     gsl_matrix_complex * B);

/*
 * Routines with prefixes C and Z only
 */
int  gsl_blas_chemm (CBLAS_SIDE_t Side,
                     CBLAS_UPLO_t Uplo,
                     const gsl_complex_float alpha,
                     const gsl_matrix_complex_float * A,
                     const gsl_matrix_complex_float * B,
                     const gsl_complex_float beta,
                     gsl_matrix_complex_float * C);

int  gsl_blas_cherk (CBLAS_UPLO_t Uplo,
                     CBLAS_TRANSPOSE_t Trans,
                     float alpha,
                     const gsl_matrix_complex_float * A,
                     float beta,
                     gsl_matrix_complex_float * C);

int  gsl_blas_cher2k (CBLAS_UPLO_t Uplo,
                      CBLAS_TRANSPOSE_t Trans,
                      const gsl_complex_float alpha,
                      const gsl_matrix_complex_float * A,
                      const gsl_matrix_complex_float * B,
                      float beta,
                      gsl_matrix_complex_float * C);

int  gsl_blas_zhemm (CBLAS_SIDE_t Side,
                     CBLAS_UPLO_t Uplo,
                     const gsl_complex alpha,
                     const gsl_matrix_complex * A,
                     const gsl_matrix_complex * B,
                     const gsl_complex beta,
                     gsl_matrix_complex * C);

int  gsl_blas_zherk (CBLAS_UPLO_t Uplo,
                     CBLAS_TRANSPOSE_t Trans,
                     double alpha,
                     const gsl_matrix_complex * A,
                     double beta,
                     gsl_matrix_complex * C);

int  gsl_blas_zher2k (CBLAS_UPLO_t Uplo,
                      CBLAS_TRANSPOSE_t Trans,
                      const gsl_complex alpha,
                      const gsl_matrix_complex * A,
                      const gsl_matrix_complex * B,
                      double beta,
                      gsl_matrix_complex * C);


__END_DECLS

#endif /* __GSL_BLAS_H__ */