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sgecon(3P)		    Sun Performance Library		    sgecon(3P)

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
       factorization computed by SGETRF

SYNOPSIS
       SUBROUTINE SGECON(NORM, N, A, LDA, ANORM, RCOND, WORK, WORK2, INFO)

       CHARACTER * 1 NORM
       INTEGER N, LDA, INFO
       INTEGER WORK2(*)
       REAL ANORM, RCOND
       REAL A(LDA,*), WORK(*)

       SUBROUTINE SGECON_64(NORM, N, A, LDA, ANORM, RCOND, WORK, WORK2,
	     INFO)

       CHARACTER * 1 NORM
       INTEGER*8 N, LDA, INFO
       INTEGER*8 WORK2(*)
       REAL ANORM, RCOND
       REAL A(LDA,*), WORK(*)

   F95 INTERFACE
       SUBROUTINE GECON(NORM, [N], A, [LDA], ANORM, RCOND, [WORK], [WORK2],
	      [INFO])

       CHARACTER(LEN=1) :: NORM
       INTEGER :: N, LDA, INFO
       INTEGER, DIMENSION(:) :: WORK2
       REAL :: ANORM, RCOND
       REAL, DIMENSION(:) :: WORK
       REAL, DIMENSION(:,:) :: A

       SUBROUTINE GECON_64(NORM, [N], A, [LDA], ANORM, RCOND, [WORK], [WORK2],
	      [INFO])

       CHARACTER(LEN=1) :: NORM
       INTEGER(8) :: N, LDA, INFO
       INTEGER(8), DIMENSION(:) :: WORK2
       REAL :: ANORM, RCOND
       REAL, DIMENSION(:) :: WORK
       REAL, DIMENSION(:,:) :: A

   C INTERFACE
       #include <sunperf.h>

       void  sgecon(char  norm,	 int  n, float *a, int lda, float anorm, float
		 *rcond, int *info);

       void sgecon_64(char norm, long n, float	*a,  long  lda,	 float	anorm,
		 float *rcond, long *info);

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)
		 Specifies whether the 1-norm condition number or  the	infin‐
		 ity-norm condition number is required:
		 = '1' or 'O':	1-norm;
		 = 'I':		Infinity-norm.

       N (input) The order of the matrix A.  N >= 0.

       A (input) The  factors L and U from the factorization A = P*L*U as com‐
		 puted by SGETRF.

       LDA (input)
		 The leading dimension of the array A.	LDA >= max(1,N).

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

       WORK (workspace)
		 dimension(4*N)

       WORK2 (workspace)
		 dimension(N)

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

				  6 Mar 2009			    sgecon(3P)

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