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zgecon(3P)		    Sun Performance Library		    zgecon(3P)

NAME
       zgecon  -  estimate 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

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

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

       SUBROUTINE ZGECON_64(NORM, N, A, LDA, ANORM, RCOND, WORK, WORK2,
	     INFO)

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

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

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

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

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

   C INTERFACE
       #include <sunperf.h>

       void  zgecon(char norm, int n, doublecomplex *a, int lda, double anorm,
		 double *rcond, int *info);

       void zgecon_64(char norm, long n, doublecomplex *a,  long  lda,	double
		 anorm, double *rcond, long *info);

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)
		 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 ZGETRF.

       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(2*N)

       WORK2 (workspace)
		 dimension(2*N)

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

				  6 Mar 2009			    zgecon(3P)

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