XLPack 7.0
XLPack Numerical Library (C API) Reference Manual
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◆ zpotrf()

void zpotrf ( char  uplo,
int  n,
int  lda,
doublecomplex  a[],
int *  info 
)

Cholesky factorization of a Hermitian positive definite matrix

Purpose
This routine computes the Cholesky factorization of a Hermitian positive definite matrix A. The factorization has the form
A = U^H * U, if uplo = 'U', or
A = L * L^H, if uplo = 'L',
where U is an upper triangular matrix and L is a lower triangular matrix.
This is the blocked version of the algorithm, calling Level 3 BLAS.
Parameters
[in]uplo= 'U': Upper triangle of A is stored.
= 'L': Lower triangle of A is stored.
[in]nOrder of the matrix A. (n >= 0) (If n = 0, returns without computation)
[in]ldaLeading dimension of the two dimensional array a[][]. (lda >= max(1, n))
[in,out]a[][]Array a[la][lda] (la >= n)
[in] n x n Hermitian positive definite matrix A. The upper or lower triangular part is to be referenced in accordance with uplo.
[out] If info = 0, the factor U or L from the Cholesky factorization A = U^H*U or A = L*L^H.
[out]info= 0: Successful exit
= -1: The argument uplo had an illegal value (uplo != 'U' nor 'L')
= -2: The argument n had an illegal value (n < 0)
= -3: The argument lda had an illegal value (lda < max(1, n))
= i > 0: The leading minor of order i is not positive definite, and the factorization could not be completed.
Reference
LAPACK