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int PLASMA_dposv |
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PLASMA_enum |
uplo, |
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int |
N, |
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int |
NRHS, |
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double * |
A, |
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int |
LDA, |
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double * |
B, |
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int |
LDB | |
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PLASMA_dposv - Computes the solution to a system of linear equations A * X = B, where A is an N-by-N symmetric positive definite (or Hermitian positive definite in the complex case) matrix and X and B are N-by-NRHS matrices. The Cholesky decomposition is used to factor A as
where U is an upper triangular matrix and L is a lower triangular matrix. The factored form of A is then used to solve the system of equations A * X = B.
- Parameters:
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[in] | uplo | Specifies whether the matrix A is upper triangular or lower triangular: = PlasmaUpper: Upper triangle of A is stored; = PlasmaLower: Lower triangle of A is stored. |
[in] | N | The number of linear equations, i.e., the order of the matrix A. N >= 0. |
[in] | NRHS | The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0. |
[in,out] | A | On entry, the symmetric positive definite (or Hermitian) matrix A. If uplo = PlasmaUpper, the leading N-by-N upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced. If UPLO = 'L', the leading N-by-N lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced. On exit, if return value = 0, the factor U or L from the Cholesky factorization A = U\*\*T*U or A = L*L\*\*T. |
[in] | LDA | The leading dimension of the array A. LDA >= max(1,N). |
[in,out] | B | On entry, the N-by-NRHS right hand side matrix B. On exit, if return value = 0, the N-by-NRHS solution matrix X. |
[in] | LDB | The leading dimension of the array B. LDB >= max(1,N). |
- Returns:
- Return values:
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| PLASMA_SUCCESS | successful exit |
| <0 | if -i, the i-th argument had an illegal value |
| >0 | if i, the leading minor of order i of A is not positive definite, so the factorization could not be completed, and the solution has not been computed. |
- See also:
- PLASMA_dposv_Tile
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PLASMA_dposv_Tile_Async
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PLASMA_cposv
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PLASMA_dposv
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PLASMA_sposv
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