PLASMA 2.8.0 PLASMA - Parallel Linear Algebra for Scalable Multi-core Architectures

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void CORE_zpotrf | ( | PLASMA_enum | uplo,
|  | int | N,
|  | PLASMA_Complex64_t * | A,
|  | int | LDA,
|  | int * | info
| ) |  |

CORE_zpotrf - Computes the Cholesky factorization of a symmetric positive definite (or Hermitian positive definite in the complex case) matrix A. The factorization has the form

\[ A = \{_{L\times L^H, if uplo = PlasmaLower}^{U^H\times U, if uplo = PlasmaUpper} \]

where U is an upper triangular matrix and L is a lower triangular matrix.

Parameters

  [in] | uplo | = PlasmaUpper: Upper triangle of A is stored; = PlasmaLower: Lower triangle of A is stored.
  [in] | N | The order of the matrix A. N >= 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**H*U or A = L*L**H.
  [in] | LDA | The leading dimension of the array A. LDA >= max(1,N).
  [out] | info | 0 on 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.