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);

Description

Oracle Solaris Studio 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




                                  7 Nov 2015                        zpocon(3P)