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zsycon(3P)		    Sun Performance Library		    zsycon(3P)

NAME
       zsycon  -  estimate  the	 reciprocal  of	 the  condition number (in the
       1-norm) of a complex symmetric matrix A using  the  factorization  A  =
       U*D*U**T or A = L*D*L**T computed by ZSYTRF

SYNOPSIS
       SUBROUTINE ZSYCON(UPLO, N, A, LDA, IPIVOT, ANORM, RCOND, WORK, INFO)

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

       SUBROUTINE ZSYCON_64(UPLO, N, A, LDA, IPIVOT, ANORM, RCOND, WORK,
	     INFO)

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

   F95 INTERFACE
       SUBROUTINE SYCON(UPLO, [N], A, [LDA], IPIVOT, ANORM, RCOND, [WORK],
	      [INFO])

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

       SUBROUTINE SYCON_64(UPLO, [N], A, [LDA], IPIVOT, ANORM, RCOND, [WORK],
	      [INFO])

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

   C INTERFACE
       #include <sunperf.h>

       void  zsycon(char  uplo, int n, doublecomplex *a, int lda, int *ipivot,
		 double anorm, double *rcond, int *info);

       void zsycon_64(char uplo, long n,  doublecomplex	 *a,  long  lda,  long
		 *ipivot, double anorm, double *rcond, long *info);

PURPOSE
       zsycon estimates the reciprocal of the condition number (in the 1-norm)
       of a complex symmetric matrix A using the factorization A = U*D*U**T or
       A = L*D*L**T computed by ZSYTRF.

       An  estimate  is	 obtained  for norm(inv(A)), and the reciprocal of the
       condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).

ARGUMENTS
       UPLO (input)
		 Specifies whether the details of the factorization are stored
		 as an upper or lower triangular matrix.  = 'U':  Upper trian‐
		 gular, form is A = U*D*U**T;
		 = 'L':	 Lower triangular, form is A = L*D*L**T.

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

       A (input) The block diagonal matrix  D  and  the	 multipliers  used  to
		 obtain the factor U or L as computed by ZSYTRF.

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

       IPIVOT (input) INTEGER array, dimension (N)
		 Details  of  the interchanges and the block structure of D as
		 determined by ZSYTRF.

       ANORM (input)
		 The 1-norm of the original matrix A.

       RCOND (output)
		 The reciprocal of the condition number of the matrix A,  com‐
		 puted as RCOND = 1/(ANORM * AINVNM), where AINVNM is an esti‐
		 mate of the 1-norm of inv(A) computed in this routine.

       WORK (workspace)
		 dimension(2*N)

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

				  6 Mar 2009			    zsycon(3P)

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