Module rgsl::blas::level3
[−]
[src]
Functions
| cgemm |
This function computes the matrix-matrix product and sum C = \alpha op(A) op(B) + \beta C where op(A) = A, AT, AH for TransA = CblasNoTrans, CblasTrans, CblasConjTrans and similarly for the parameter TransB. |
| chemm |
This function computes the matrix-matrix product and sum C = \alpha A B + \beta C for Side is Left and C = \alpha B A + \beta C for Side is Right, where the matrix A is hermitian. When Uplo is Upper then the upper triangle and diagonal of A are used, and when Uplo is Lower then the lower triangle and diagonal of A are used. The imaginary elements of the diagonal are automatically set to zero. |
| cher2k |
This function computes a rank-2k update of the hermitian matrix C, C = \alpha A BH + \alpha* B AH + \beta C when Trans is NoTrans and C = \alpha AH B + \alpha* BH A + \beta C when Trans is ConjTrans. Since the matrix C is hermitian only its upper half or lower half need to be stored. When Uplo is Upper then the upper triangle and diagonal of C are used, and when Uplo is Lower then the lower triangle and diagonal of C are used. The imaginary elements of the diagonal are automatically set to zero. |
| cherk |
These functions compute a rank-k update of the hermitian matrix C, C = \alpha A AH + \beta C when Trans is NoTrans and C = \alpha AH A + \beta C when Trans is ConjTrans. Since the matrix C is hermitian only its upper half or lower half need to be stored. When Uplo is Upper then the upper triangle and diagonal of C are used, and when Uplo is Lower then the lower triangle and diagonal of C are used. The imaginary elements of the diagonal are automatically set to zero. |
| csymm |
This function computes the matrix-matrix product and sum C = \alpha A B + \beta C for Side is CblasLeft and 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. |
| csyr2k |
This function computes a rank-2k update of the symmetric matrix C, C = \alpha A BT + \alpha B AT + \beta C when Trans is NoTrans and C = \alpha AT B + \alpha BT A + \beta C when Trans is Trans. Since the matrix C is symmetric only its upper half or lower half need to be stored. When Uplo is Upper then the upper triangle and diagonal of C are used, and when Uplo is Lower then the lower triangle and diagonal of C are used. |
| csyrk |
This function computes a rank-k update of the symmetric matrix C, C = \alpha A AT + \beta C when Trans is NoTrans and C = \alpha AT A + \beta C when Trans is Trans. Since the matrix C is symmetric only its upper half or lower half need to be stored. When Uplo is Upper then the upper triangle and diagonal of C are used, and when Uplo is Lower then the lower triangle and diagonal of C are used. |
| ctrmm |
This function computes the matrix-matrix product B = \alpha op(A) B for Side is Left and B = \alpha B op(A) for Side is CblasRight. The matrix A is triangular and op(A) = A, AT, AH for TransA = NoTrans, Trans, ConjTrans. When Uplo is Upper then the upper triangle of A is used, and when Uplo is Lower then the lower triangle of A is used. If Diag is NonUnit then the diagonal of A is used, but if Diag is Unit then the diagonal elements of the matrix A are taken as unity and are not referenced. |
| ctrsm |
This function computes the inverse-matrix matrix product B = \alpha op(inv(A))B for Side is Left and B = \alpha B op(inv(A)) for Side is Right. The matrix A is triangular and op(A) = A, AT, AH for TransA = NoTrans, Trans, ConjTrans. When Uplo is Upper then the upper triangle of A is used, and when Uplo is Lower then the lower triangle of A is used. If Diag is NonUnit then the diagonal of A is used, but if Diag is Unit then the diagonal elements of the matrix A are taken as unity and are not referenced. |
| dgemm |
This function computes the matrix-matrix product and sum C = \alpha op(A) op(B) + \beta C where op(A) = A, AT, AH for TransA = CblasNoTrans, CblasTrans, CblasConjTrans and similarly for the parameter TransB. |
| dsymm |
This function computes the matrix-matrix product and sum C = \alpha A B + \beta C for Side is CblasLeft and 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. |
| dsyr2k |
This function computes a rank-2k update of the symmetric matrix C, C = \alpha A BT + \alpha B AT + \beta C when Trans is NoTrans and C = \alpha AT B + \alpha BT A + \beta C when Trans is Trans. Since the matrix C is symmetric only its upper half or lower half need to be stored. When Uplo is Upper then the upper triangle and diagonal of C are used, and when Uplo is Lower then the lower triangle and diagonal of C are used. |
| dsyrk |
This function computes a rank-k update of the symmetric matrix C, C = \alpha A AT + \beta C when Trans is NoTrans and C = \alpha AT A + \beta C when Trans is Trans. Since the matrix C is symmetric only its upper half or lower half need to be stored. When Uplo is Upper then the upper triangle and diagonal of C are used, and when Uplo is Lower then the lower triangle and diagonal of C are used. |
| dtrmm |
This function computes the matrix-matrix product B = \alpha op(A) B for Side is Left and B = \alpha B op(A) for Side is CblasRight. The matrix A is triangular and op(A) = A, AT, AH for TransA = NoTrans, Trans, ConjTrans. When Uplo is Upper then the upper triangle of A is used, and when Uplo is Lower then the lower triangle of A is used. If Diag is NonUnit then the diagonal of A is used, but if Diag is Unit then the diagonal elements of the matrix A are taken as unity and are not referenced. |
| dtrsm |
This function computes the inverse-matrix matrix product B = \alpha op(inv(A))B for Side is Left and B = \alpha B op(inv(A)) for Side is Right. The matrix A is triangular and op(A) = A, AT, AH for TransA = NoTrans, Trans, ConjTrans. When Uplo is Upper then the upper triangle of A is used, and when Uplo is Lower then the lower triangle of A is used. If Diag is NonUnit then the diagonal of A is used, but if Diag is Unit then the diagonal elements of the matrix A are taken as unity and are not referenced. |
| sgemm |
This function computes the matrix-matrix product and sum C = \alpha op(A) op(B) + \beta C where op(A) = A, AT, AH for TransA = CblasNoTrans, CblasTrans, CblasConjTrans and similarly for the parameter TransB. |
| ssymm |
This function computes the matrix-matrix product and sum C = \alpha A B + \beta C for Side is CblasLeft and 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. |
| ssyr2k |
This function computes a rank-2k update of the symmetric matrix C, C = \alpha A BT + \alpha B AT + \beta C when Trans is NoTrans and C = \alpha AT B + \alpha BT A + \beta C when Trans is Trans. Since the matrix C is symmetric only its upper half or lower half need to be stored. When Uplo is Upper then the upper triangle and diagonal of C are used, and when Uplo is Lower then the lower triangle and diagonal of C are used. |
| ssyrk |
This function computes a rank-k update of the symmetric matrix C, C = \alpha A AT + \beta C when Trans is NoTrans and C = \alpha AT A + \beta C when Trans is Trans. Since the matrix C is symmetric only its upper half or lower half need to be stored. When Uplo is Upper then the upper triangle and diagonal of C are used, and when Uplo is Lower then the lower triangle and diagonal of C are used. |
| strmm |
This function computes the matrix-matrix product B = \alpha op(A) B for Side is Left and B = \alpha B op(A) for Side is CblasRight. The matrix A is triangular and op(A) = A, AT, AH for TransA = NoTrans, Trans, ConjTrans. When Uplo is Upper then the upper triangle of A is used, and when Uplo is Lower then the lower triangle of A is used. If Diag is NonUnit then the diagonal of A is used, but if Diag is Unit then the diagonal elements of the matrix A are taken as unity and are not referenced. |
| strsm |
This function computes the inverse-matrix matrix product B = \alpha op(inv(A))B for Side is Left and B = \alpha B op(inv(A)) for Side is Right. The matrix A is triangular and op(A) = A, AT, AH for TransA = NoTrans, Trans, ConjTrans. When Uplo is Upper then the upper triangle of A is used, and when Uplo is Lower then the lower triangle of A is used. If Diag is NonUnit then the diagonal of A is used, but if Diag is Unit then the diagonal elements of the matrix A are taken as unity and are not referenced. |
| zgemm |
This function computes the matrix-matrix product and sum C = \alpha op(A) op(B) + \beta C where op(A) = A, AT, AH for TransA = CblasNoTrans, CblasTrans, CblasConjTrans and similarly for the parameter TransB. |
| zhemm |
This function computes the matrix-matrix product and sum C = \alpha A B + \beta C for Side is CblasLeft and 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. |
| zher2k |
This function computes a rank-2k update of the hermitian matrix C, C = \alpha A BH + \alpha* B AH + \beta C when Trans is NoTrans and C = \alpha AH B + \alpha* BH A + \beta C when Trans is ConjTrans. Since the matrix C is hermitian only its upper half or lower half need to be stored. When Uplo is Upper then the upper triangle and diagonal of C are used, and when Uplo is Lower then the lower triangle and diagonal of C are used. The imaginary elements of the diagonal are automatically set to zero. |
| zherk |
These functions compute a rank-k update of the hermitian matrix C, C = \alpha A AH + \beta C when Trans is NoTrans and C = \alpha AH A + \beta C when Trans is ConjTrans. Since the matrix C is hermitian only its upper half or lower half need to be stored. When Uplo is Upper then the upper triangle and diagonal of C are used, and when Uplo is Lower then the lower triangle and diagonal of C are used. The imaginary elements of the diagonal are automatically set to zero. |
| zsymm |
This function computes the matrix-matrix product and sum C = \alpha A B + \beta C for Side is CblasLeft and 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. |
| zsyr2k |
This function computes a rank-2k update of the symmetric matrix C, C = \alpha A BT + \alpha B AT + \beta C when Trans is NoTrans and C = \alpha AT B + \alpha BT A + \beta C when Trans is Trans. Since the matrix C is symmetric only its upper half or lower half need to be stored. When Uplo is Upper then the upper triangle and diagonal of C are used, and when Uplo is Lower then the lower triangle and diagonal of C are used. |
| zsyrk |
This function computes a rank-k update of the symmetric matrix C, C = \alpha A AT + \beta C when Trans is NoTrans and C = \alpha AT A + \beta C when Trans is Trans. Since the matrix C is symmetric only its upper half or lower half need to be stored. When Uplo is Upper then the upper triangle and diagonal of C are used, and when Uplo is Lower then the lower triangle and diagonal of C are used. |
| ztrmm |
This function computes the matrix-matrix product B = \alpha op(A) B for Side is Left and B = \alpha B op(A) for Side is CblasRight. The matrix A is triangular and op(A) = A, AT, AH for TransA = NoTrans, Trans, ConjTrans. When Uplo is Upper then the upper triangle of A is used, and when Uplo is Lower then the lower triangle of A is used. If Diag is NonUnit then the diagonal of A is used, but if Diag is Unit then the diagonal elements of the matrix A are taken as unity and are not referenced. |
| ztrsm |
This function computes the inverse-matrix matrix product B = \alpha op(inv(A))B for Side is Left and B = \alpha B op(inv(A)) for Side is Right. The matrix A is triangular and op(A) = A, AT, AH for TransA = NoTrans, Trans, ConjTrans. When Uplo is Upper then the upper triangle of A is used, and when Uplo is Lower then the lower triangle of A is used. If Diag is NonUnit then the diagonal of A is used, but if Diag is Unit then the diagonal elements of the matrix A are taken as unity and are not referenced. |