.TH ZHECON 1 "November 2006" " LAPACK routine (version 3.1) " " LAPACK routine (version 3.1) "
.SH NAME
ZHECON - the reciprocal of the condition number of a complex Hermitian matrix A using the factorization A = U*D*U**H or A = L*D*L**H computed by ZHETRF
.SH SYNOPSIS
.TP 19
SUBROUTINE ZHECON(
UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK,
INFO )
.TP 19
.ti +4
CHARACTER
UPLO
.TP 19
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INTEGER
INFO, LDA, N
.TP 19
.ti +4
DOUBLE
PRECISION ANORM, RCOND
.TP 19
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INTEGER
IPIV( * )
.TP 19
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COMPLEX*16
A( LDA, * ), WORK( * )
.SH PURPOSE
ZHECON estimates the reciprocal of the condition number of a complex
Hermitian matrix A using the factorization A = U*D*U**H or
A = L*D*L**H computed by ZHETRF.
An estimate is obtained for norm(inv(A)), and the reciprocal of the
condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).
.SH ARGUMENTS
.TP 8
UPLO (input) CHARACTER*1
Specifies whether the details of the factorization are stored
as an upper or lower triangular matrix.
= \(aqU\(aq: Upper triangular, form is A = U*D*U**H;
.br
= \(aqL\(aq: Lower triangular, form is A = L*D*L**H.
.TP 8
N (input) INTEGER
The order of the matrix A. N >= 0.
.TP 8
A (input) COMPLEX*16 array, dimension (LDA,N)
The block diagonal matrix D and the multipliers used to
obtain the factor U or L as computed by ZHETRF.
.TP 8
LDA (input) INTEGER
The leading dimension of the array A. LDA >= max(1,N).
.TP 8
IPIV (input) INTEGER array, dimension (N)
Details of the interchanges and the block structure of D
as determined by ZHETRF.
.TP 8
ANORM (input) DOUBLE PRECISION
The 1-norm of the original matrix A.
.TP 8
RCOND (output) DOUBLE PRECISION
The reciprocal of the condition number of the matrix A,
computed as RCOND = 1/(ANORM * AINVNM), where AINVNM is an
estimate of the 1-norm of inv(A) computed in this routine.
.TP 8
WORK (workspace) COMPLEX*16 array, dimension (2*N)
.TP 8
INFO (output) INTEGER
= 0: successful exit
.br
< 0: if INFO = -i, the i-th argument had an illegal value