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zpocon(3P)		    Sun Performance Library		    zpocon(3P)

NAME
       zpocon  -  estimate  the	 reciprocal  of	 the  condition number (in the
       1-norm) of a complex  Hermitian	positive  definite  matrix  using  the
       Cholesky factorization A = U**H*U or A = L*L**H computed by ZPOTRF

SYNOPSIS
       SUBROUTINE ZPOCON(UPLO, N, A, LDA, ANORM, RCOND, WORK, WORK2, INFO)

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

       SUBROUTINE ZPOCON_64(UPLO, N, A, LDA, ANORM, RCOND, WORK, WORK2,
	     INFO)

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

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

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

       SUBROUTINE POCON_64(UPLO, [N], A, [LDA], ANORM, RCOND, [WORK], [WORK2],
	      [INFO])

       CHARACTER(LEN=1) :: UPLO
       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  zpocon(char uplo, int n, doublecomplex *a, int lda, double anorm,
		 double *rcond, int *info);

       void zpocon_64(char uplo, long n, doublecomplex *a,  long  lda,	double
		 anorm, double *rcond, long *info);

PURPOSE
       zpocon estimates the reciprocal of the condition number (in the 1-norm)
       of a complex Hermitian positive definite matrix using the Cholesky fac‐
       torization A = U**H*U or A = L*L**H computed by ZPOTRF.

       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)
		 = 'U':	 Upper triangle of A is stored;
		 = 'L':	 Lower triangle of A is stored.

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

       A (input) The triangular factor U or L from the Cholesky	 factorization
		 A = U**H*U or A = L*L**H, as computed by ZPOTRF.

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

       ANORM (input)
		 The 1-norm (or infinity-norm) of the Hermitian 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)

       WORK2 (workspace)
		 dimension(N)

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

				  6 Mar 2009			    zpocon(3P)

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