
ZHETRI(l) ) ZHETRI(l)
NAME
ZHETRI  compute the inverse of a complex Hermitian indefinite matrix A using the factor
ization A = U*D*U**H or A = L*D*L**H computed by ZHETRF
SYNOPSIS
SUBROUTINE ZHETRI( UPLO, N, A, LDA, IPIV, WORK, INFO )
CHARACTER UPLO
INTEGER INFO, LDA, N
INTEGER IPIV( * )
COMPLEX*16 A( LDA, * ), WORK( * )
PURPOSE
ZHETRI computes the inverse of a complex Hermitian indefinite matrix A using the factor
ization A = U*D*U**H or A = L*D*L**H computed by ZHETRF.
ARGUMENTS
UPLO (input) CHARACTER*1
Specifies whether the details of the factorization are stored as an upper or lower
triangular matrix. = 'U': Upper triangular, form is A = U*D*U**H;
= 'L': Lower triangular, form is A = L*D*L**H.
N (input) INTEGER
The order of the matrix A. N >= 0.
A (input/output) COMPLEX*16 array, dimension (LDA,N)
On entry, the block diagonal matrix D and the multipliers used to obtain the fac
tor U or L as computed by ZHETRF.
On exit, if INFO = 0, the (Hermitian) inverse of the original matrix. If UPLO =
'U', the upper triangular part of the inverse is formed and the part of A below
the diagonal is not referenced; if UPLO = 'L' the lower triangular part of the
inverse is formed and the part of A above the diagonal is not referenced.
LDA (input) INTEGER
The leading dimension of the array A. LDA >= max(1,N).
IPIV (input) INTEGER array, dimension (N)
Details of the interchanges and the block structure of D as determined by ZHETRF.
WORK (workspace) COMPLEX*16 array, dimension (N)
INFO (output) INTEGER
= 0: successful exit
< 0: if INFO = i, the ith argument had an illegal value
> 0: if INFO = i, D(i,i) = 0; the matrix is singular and its inverse could not be
computed.
LAPACK version 3.0 15 June 2000 ZHETRI(l) 
