Go to the first, previous, next, last section, table of contents.
- Function: 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)
-
- Function: 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)
-
- Function: 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)
-
- Function: 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)
-
These functions compute the matrix-matrix product and sum @math{C =
\alpha op(A) op(B) + \beta C} where @math{op(A) = A}, @math{A^T},
@math{A^H} for TransA =
CblasNoTrans
, CblasTrans
,
CblasConjTrans
and similarly for the parameter TransB.
- Function: 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)
-
- Function: 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)
-
- Function: 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)
-
- Function: 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)
-
These functions compute the matrix-matrix product and sum @math{C =
\alpha A B + \beta C} for Side is
CblasLeft
and @math{C =
\alpha B A + \beta C} for Side is CblasRight
, where the
matrix A is symmetric. When Uplo is CblasUpper
then
the upper triangle and diagonal of A are used, and when Uplo
is CblasLower
then the lower triangle and diagonal of A are
used.
- Function: 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)
-
- Function: 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)
-
These functions compute the matrix-matrix product and sum @math{C =
\alpha A B + \beta C} for Side is
CblasLeft
and @math{C =
\alpha B A + \beta C} for Side is CblasRight
, where the
matrix A is hermitian. When Uplo is CblasUpper
then
the upper triangle and diagonal of A are used, and when Uplo
is CblasLower
then the lower triangle and diagonal of A are
used. The imaginary elements of the diagonal are automatically set to
zero.
- Function: 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)
-
- Function: 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)
-
- Function: 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)
-
- Function: 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)
-
These functions compute the matrix-matrix product @math{B = \alpha op(A)
B} for Side is
CblasLeft
and @math{B = \alpha B op(A)} for
Side is CblasRight
. The matrix A is triangular and
@math{op(A) = A}, @math{A^T}, @math{A^H} for TransA =
CblasNoTrans
, CblasTrans
, CblasConjTrans
When
Uplo is CblasUpper
then the upper triangle of A is
used, and when Uplo is CblasLower
then the lower triangle
of A is used. If Diag is CblasNonUnit
then the
diagonal of A is used, but if Diag is CblasUnit
then
the diagonal elements of the matrix A are taken as unity and are
not referenced.
- Function: 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)
-
- Function: 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)
-
- Function: 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)
-
- Function: 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)
-
These functions compute the matrix-matrix product @math{B = \alpha op(inv(A))
B} for Side is
CblasLeft
and @math{B = \alpha B op(inv(A))} for
Side is CblasRight
. The matrix A is triangular and
@math{op(A) = A}, @math{A^T}, @math{A^H} for TransA =
CblasNoTrans
, CblasTrans
, CblasConjTrans
When
Uplo is CblasUpper
then the upper triangle of A is
used, and when Uplo is CblasLower
then the lower triangle
of A is used. If Diag is CblasNonUnit
then the
diagonal of A is used, but if Diag is CblasUnit
then
the diagonal elements of the matrix A are taken as unity and are
not referenced.
- Function: 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)
-
- Function: int gsl_blas_dsyrk (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans, double alpha, const gsl_matrix * A, double beta, gsl_matrix * C)
-
- Function: 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)
-
- Function: 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)
-
These functions compute a rank-k update of the symmetric matrix C,
@math{C = \alpha A A^T + \beta C} when Trans is
CblasNoTrans
and @math{C = \alpha A^T A + \beta C} when
Trans is CblasTrans
. Since the matrix C is symmetric
only its upper half or lower half need to be stored. When Uplo is
CblasUpper
then the upper triangle and diagonal of C are
used, and when Uplo is CblasLower
then the lower triangle
and diagonal of C are used.
- Function: 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)
-
- Function: 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)
-
These functions compute a rank-k update of the hermitian matrix C,
@math{C = \alpha A A^H + \beta C} when Trans is
CblasNoTrans
and @math{C = \alpha A^H A + \beta C} when
Trans is CblasTrans
. Since the matrix C is hermitian
only its upper half or lower half need to be stored. When Uplo is
CblasUpper
then the upper triangle and diagonal of C are
used, and when Uplo is CblasLower
then the lower triangle
and diagonal of C are used. The imaginary elements of the
diagonal are automatically set to zero.
- Function: 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)
-
- Function: 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)
-
- Function: 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)
-
- Function: 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)
-
These functions compute a rank-2k update of the symmetric matrix C,
@math{C = \alpha A B^T + \alpha B A^T + \beta C} when Trans is
CblasNoTrans
and @math{C = \alpha A^T B + \alpha B^T A + \beta C} when
Trans is CblasTrans
. Since the matrix C is symmetric
only its upper half or lower half need to be stored. When Uplo is
CblasUpper
then the upper triangle and diagonal of C are
used, and when Uplo is CblasLower
then the lower triangle
and diagonal of C are used.
- Function: 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)
-
- Function: 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)
-
These functions compute a rank-2k update of the hermitian matrix C,
@math{C = \alpha A B^H + \alpha^* B A^H + \beta C} when Trans is
CblasNoTrans
and @math{C = \alpha A^H B + \alpha^* B^H A + \beta C} when
Trans is CblasTrans
. Since the matrix C is hermitian
only its upper half or lower half need to be stored. When Uplo is
CblasUpper
then the upper triangle and diagonal of C are
used, and when Uplo is CblasLower
then the lower triangle
and diagonal of C are used. The imaginary elements of the
diagonal are automatically set to zero.
Go to the first, previous, next, last section, table of contents.