SGECON(3f)

NAME
SGECON - the reciprocal of the condition number of a general real matrix A, in either the 1-norm or the infinity-norm, using the LU factorization computed by SGETRF

SYNOPSIS

SUBROUTINE SGECON(
    NORM, N, A, LDA, ANORM, RCOND, WORK, IWORK, INFO )

CHARACTER
    NORM

INTEGER
    INFO, LDA, N

REAL
    ANORM, RCOND

INTEGER
    IWORK( * )

REAL
    A( LDA, * ), WORK( * )

PURPOSE
SGECON estimates the reciprocal of the condition number of a general real matrix A, in either the 1-norm or the infinity-norm, using the LU factorization computed by SGETRF. 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) REAL array, dimension (LDA,N)
    The factors L and U from the factorization A = P*L*U as computed by SGETRF.

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))).

WORK    (workspace) REAL array, dimension (4*N)

IWORK   (workspace) INTEGER array, dimension (N)

INFO    (output) INTEGER
    = 0: successful exit
    < 0: if INFO = -i, the i-th argument had an illegal value