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dpocon(3P)		    Sun Performance Library		    dpocon(3P)

NAME
       dpocon  -  estimate  the	 reciprocal  of	 the  condition number (in the
       1-norm) of a real symmetric positive definite matrix using the Cholesky
       factorization A = U**T*U or A = L*L**T computed by DPOTRF

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

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

       SUBROUTINE DPOCON_64(UPLO, N, A, LDA, ANORM, RCOND, WORK, WORK2,
	     INFO)

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

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

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

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

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

   C INTERFACE
       #include <sunperf.h>

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

       void dpocon_64(char uplo, long n, double *a, long  lda,	double	anorm,
		 double *rcond, long *info);

PURPOSE
       dpocon estimates the reciprocal of the condition number (in the 1-norm)
       of a real symmetric positive definite matrix using the Cholesky factor‐
       ization A = U**T*U or A = L*L**T computed by DPOTRF.

       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**T*U or A = L*L**T, as computed by DPOTRF.

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

       ANORM (input)
		 The 1-norm (or infinity-norm) of the symmetric 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(3*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			    dpocon(3P)
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