PLASMA
Parallel Linear Algebra Software for Multicore Architectures
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\( B = \alpha \;op(A)\; B \) or \( B = \alpha B \;op(A) \) where \( A \) is triangular More...
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__attribute__ ((weak)) | |
\( B = \alpha \;op(A)\; B \) or \( B = \alpha B \;op(A) \) where \( A \) is triangular
__attribute__ | ( | (weak) | ) |
Performs a triangular matrix-matrix multiply of the form
\[B = \alpha [op(A) \times B] \]
, if side = PlasmaLeft or
\[B = \alpha [B \times op(A)] \]
, if side = PlasmaRight
where op( X ) is one of:
- op(A) = A or - op(A) = A^T or - op(A) = A^H
alpha is a scalar, B is an m-by-n matrix and A is a unit or non-unit, upper or lower triangular matrix.
[in] | side | Specifies whether op( A ) appears on the left or on the right of B:
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[in] | uplo | Specifies whether the matrix A is upper triangular or lower triangular:
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[in] | transa | Specifies whether the matrix A is transposed, not transposed or conjugate transposed:
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[in] | diag | Specifies whether or not A is unit triangular:
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[in] | m | The number of rows of matrix B. m >= 0. |
[in] | n | The number of columns of matrix B. n >= 0. |
[in] | alpha | The scalar alpha. |
[in] | A | The triangular matrix A of dimension lda-by-k, where k is m when side='L' or 'l' and k is n when when side='R' or 'r'. If uplo = PlasmaUpper, the leading k-by-k upper triangular part of the array A contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If uplo = PlasmaLower, the leading k-by-k lower triangular part of the array A contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If diag = PlasmaUnit, the diagonal elements of A are also not referenced and are assumed to be 1. |
[in] | lda | The leading dimension of the array A. When side='L' or 'l', lda >= max(1,m), when side='R' or 'r' then lda >= max(1,n). |
[in,out] | B | On entry, the matrix B of dimension ldb-by-n. On exit, the result of a triangular matrix-matrix multiply ( alpha*op(A)*B ) or ( alpha*B*op(A) ). |
[in] | ldb | The leading dimension of the array B. ldb >= max(1,m). |
Performs a triangular matrix-matrix multiply of the form
\[B = \alpha [op(A) \times B] \]
, if side = PlasmaLeft or
\[B = \alpha [B \times op(A)] \]
, if side = PlasmaRight
where op( X ) is one of:
- op(A) = A or - op(A) = A^T or - op(A) = A^T
alpha is a scalar, B is an m-by-n matrix and A is a unit or non-unit, upper or lower triangular matrix.
[in] | side | Specifies whether op( A ) appears on the left or on the right of B:
|
[in] | uplo | Specifies whether the matrix A is upper triangular or lower triangular:
|
[in] | transa | Specifies whether the matrix A is transposed, not transposed or conjugate transposed:
|
[in] | diag | Specifies whether or not A is unit triangular:
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[in] | m | The number of rows of matrix B. m >= 0. |
[in] | n | The number of columns of matrix B. n >= 0. |
[in] | alpha | The scalar alpha. |
[in] | A | The triangular matrix A of dimension lda-by-k, where k is m when side='L' or 'l' and k is n when when side='R' or 'r'. If uplo = PlasmaUpper, the leading k-by-k upper triangular part of the array A contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If uplo = PlasmaLower, the leading k-by-k lower triangular part of the array A contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If diag = PlasmaUnit, the diagonal elements of A are also not referenced and are assumed to be 1. |
[in] | lda | The leading dimension of the array A. When side='L' or 'l', lda >= max(1,m), when side='R' or 'r' then lda >= max(1,n). |
[in,out] | B | On entry, the matrix B of dimension ldb-by-n. On exit, the result of a triangular matrix-matrix multiply ( alpha*op(A)*B ) or ( alpha*B*op(A) ). |
[in] | ldb | The leading dimension of the array B. ldb >= max(1,m). |