CGECON(3F)CGECON(3F)NAMECGECON - estimate the reciprocal of the condition number of a general
complex matrix A, in either the 1-norm or the infinity-norm, using the LU
factorization computed by CGETRF
SYNOPSIS
SUBROUTINE CGECON( NORM, N, A, LDA, ANORM, RCOND, WORK, RWORK, INFO )
CHARACTER NORM
INTEGER INFO, LDA, N
REAL ANORM, RCOND
REAL RWORK( * )
COMPLEX A( LDA, * ), WORK( * )
PURPOSECGECON estimates the reciprocal of the condition number of a general
complex matrix A, in either the 1-norm or the infinity-norm, using the LU
factorization computed by CGETRF.
An estimate is obtained for norm(inv(A)), and the reciprocal of the
condition number is computed as
RCOND = 1 / ( norm(A) * norm(inv(A)) ).
ARGUMENTS
NORM (input) CHARACTER*1
Specifies whether the 1-norm condition number or the infinity-
norm condition number is required:
= '1' or 'O': 1-norm;
= 'I': Infinity-norm.
N (input) INTEGER
The order of the matrix A. N >= 0.
A (input) COMPLEX array, dimension (LDA,N)
The factors L and U from the factorization A = P*L*U as computed
by CGETRF.
LDA (input) INTEGER
The leading dimension of the array A. LDA >= max(1,N).
ANORM (input) REAL
If NORM = '1' or 'O', the 1-norm of the original matrix A. If
NORM = 'I', the infinity-norm of the original matrix A.
RCOND (output) REAL
The reciprocal of the condition number of the matrix A, computed
as RCOND = 1/(norm(A) * norm(inv(A))).
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CGECON(3F)CGECON(3F)
WORK (workspace) COMPLEX array, dimension (2*N)
RWORK (workspace) REAL array, dimension (2*N)
INFO (output) INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value
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