man zpptri (Fonctions bibliothèques) - compute the inverse of a complex Hermitian positive definite matrix A using the Cholesky factorization A = U**H*U or A = L*L**H computed by ZPPTRF

NAME

ZPPTRI - compute the inverse of a complex Hermitian positive definite matrix A using the Cholesky factorization A = U**H*U or A = L*L**H computed by ZPPTRF

SYNOPSIS

SUBROUTINE ZPPTRI(
UPLO, N, AP, INFO )
CHARACTER UPLO
INTEGER INFO, N
COMPLEX*16 AP( * )

PURPOSE

ZPPTRI computes the inverse of a complex Hermitian positive definite matrix A using the Cholesky factorization A = U**H*U or A = L*L**H computed by ZPPTRF.

ARGUMENTS

UPLO (input) CHARACTER*1
= 'U': Upper triangular factor is stored in AP;

= 'L': Lower triangular factor is stored in AP.
N (input) INTEGER
The order of the matrix A. N >= 0.
AP (input/output) COMPLEX*16 array, dimension (N*(N+1)/2)
On entry, the triangular factor U or L from the Cholesky factorization A = U**H*U or A = L*L**H, packed columnwise as a linear array. The j-th column of U or L is stored in the array AP as follows: if UPLO = 'U', AP(i + (j-1)*j/2) = U(i,j) for 1<=i<=j; if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = L(i,j) for j<=i<=n.

On exit, the upper or lower triangle of the (Hermitian) inverse of A, overwriting the input factor U or L.

INFO (output) INTEGER
= 0: successful exit

< 0: if INFO = -i, the i-th argument had an illegal value

> 0: if INFO = i, the (i,i) element of the factor U or L is zero, and the inverse could not be computed.