zgecon(3)

NAME

ZGECON - estimate the reciprocal of the condition number

of a general complex matrix A, in either the 1-norm or the infin

ity-norm, using the LU factorization computed by ZGETRF

SYNOPSIS

SUBROUTINE ZGECON( NORM, N, A, LDA,  ANORM,  RCOND,  WORK,
RWORK, INFO )
    CHARACTER      NORM
    INTEGER        INFO, LDA, N
    DOUBLE         PRECISION ANORM, RCOND
    DOUBLE         PRECISION RWORK( * )
    COMPLEX*16     A( LDA, * ), WORK( * )

PURPOSE

ZGECON 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 ZGETRF. 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*16 array, dimension (LDA,N)

The factors L and U from the factorization A =

P*L*U as computed by ZGETRF.

LDA (input) INTEGER

The leading dimension of the array A. LDA >=

max(1,N).

ANORM (input) DOUBLE PRECISION

If NORM = '1' or 'O', the 1-norm of the original

matrix A. If NORM = 'I', the infinity-norm of the original ma

trix A.

RCOND (output) DOUBLE PRECISION

The reciprocal of the condition number of the ma

trix A, computed as RCOND = 1/(norm(A) * norm(inv(A))).

WORK (workspace) COMPLEX*16 array, dimension (2*N)

RWORK (workspace) DOUBLE PRECISION array, dimension

(2*N)

INFO (output) INTEGER

= 0: successful exit
< 0: if INFO = -i, the i-th argument had an ille

gal value

LAPACK version 3.0 15 June 2000

ZGECON(3)