zsycon_rook.f(3) LAPACK zsycon_rook.f(3)NAME
zsycon_rook.f -
SYNOPSIS
Functions/Subroutines
subroutine zsycon_rook (UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK,
INFO)
ZSYCON_ROOK
Function/Subroutine Documentation
subroutine zsycon_rook (characterUPLO, integerN, complex*16, dimension(
lda, * )A, integerLDA, integer, dimension( * )IPIV, double
precisionANORM, double precisionRCOND, complex*16, dimension( * )WORK,
integerINFO)
ZSYCON_ROOK
Purpose:
ZSYCON_ROOK estimates the reciprocal of the condition number (in the
1-norm) of a complex symmetric matrix A using the factorization
A = U*D*U**T or A = L*D*L**T computed by ZSYTRF_ROOK.
An estimate is obtained for norm(inv(A)), and the reciprocal of the
condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).
Parameters:
UPLO
UPLO is 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**T;
= 'L': Lower triangular, form is A = L*D*L**T.
N
N is INTEGER
The order of the matrix A. N >= 0.
A
A is 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 ZSYTRF_ROOK.
LDA
LDA is INTEGER
The leading dimension of the array A. LDA >= max(1,N).
IPIV
IPIV is INTEGER array, dimension (N)
Details of the interchanges and the block structure of D
as determined by ZSYTRF_ROOK.
ANORM
ANORM is DOUBLE PRECISION
The 1-norm of the original matrix A.
RCOND
RCOND is 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.
WORK
WORK is COMPLEX*16 array, dimension (2*N)
INFO
INFO is INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
November 2011
Contributors:
November 2011, Igor Kozachenko, Computer Science Division, University
of California, Berkeley
September 2007, Sven Hammarling, Nicholas J. Higham, Craig Lucas,
School of Mathematics, University of Manchester
Definition at line 139 of file zsycon_rook.f.
Author
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Version 3.4.2 Sat Nov 16 2013 zsycon_rook.f(3)