dgecon man page on Scientific

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```DGECON(1)		 LAPACK routine (version 3.2)		     DGECON(1)

NAME
DGECON  - 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 DGETRF

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

CHARACTER	  NORM

INTEGER	  INFO, LDA, N

DOUBLE	  PRECISION ANORM, RCOND

INTEGER	  IWORK( * )

DOUBLE	  PRECISION A( LDA, * ), WORK( * )

PURPOSE
DGECON  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  DGETRF.   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) DOUBLE PRECISION array, dimension (LDA,N)
The  factors  L	and U from the factorization A = P*L*U as com‐
puted by DGETRF.

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 matrix A.

RCOND   (output) DOUBLE PRECISION
The  reciprocal	of  the condition number of the matrix A, com‐
puted as RCOND = 1/(norm(A) * norm(inv(A))).

WORK    (workspace) DOUBLE PRECISION 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

LAPACK routine (version 3.2)	 November 2008			     DGECON(1)
```
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