potrf: Cholesky factorization

Functions
	__attribute__ ((weak))

Detailed Description

Function Documentation

__attribute__

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(weak)

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Performs the Cholesky factorization of a Hermitian positive definite matrix A. The factorization has the form

\[ A = L \times L^H, \]

or

\[ A = U^H \times U, \]

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 Hermitian positive definite 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 = PlasmaLower, 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).

Performs the Cholesky factorization of a symmetric positive definite matrix A. The factorization has the form

\[ A = L \times L^T, \]

or

\[ A = U^T \times U, \]

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 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 = PlasmaLower, 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).