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csycon(3P)		    Sun Performance Library		    csycon(3P)

NAME
       csycon  -  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 CSYTRF

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

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

       SUBROUTINE CSYCON_64(UPLO, N, A, LDA, IPIVOT, ANORM, RCOND, WORK,
	     INFO)

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

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

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

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

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

   C INTERFACE
       #include <sunperf.h>

       void  csycon(char  uplo, int n, complex *a, int lda, int *ipivot, float
		 anorm, float *rcond, int *info);

       void csycon_64(char uplo, long n, complex *a, long lda,	long  *ipivot,
		 float anorm, float *rcond, long *info);

PURPOSE
       csycon 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 CSYTRF.

       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 CSYTRF.

       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 CSYTRF.

       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			    csycon(3P)

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