SGECON(l)		LAPACK routine (version	1.1)		    SGECON(l)

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

  An estimate is obtained for norm(inv(A)), and	the reciprocal of the condi-
  tion 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


Back to the listing of computational routines for linear equations