cpocon (3p)

Name

cpocon - 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 CPOTRF

Synopsis

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

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

SUBROUTINE CPOCON_64(UPLO, N, A, LDA, ANORM, RCOND, WORK, WORK2,
INFO)

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




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

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

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

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




C INTERFACE
#include <sunperf.h>

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

void cpocon_64(char uplo, long n, complex *a, long  lda,  float  anorm,
float *rcond, long *info);

Description

Oracle Solaris Studio Performance Library                           cpocon(3P)



NAME
       cpocon  -  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 CPOTRF


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

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

       SUBROUTINE CPOCON_64(UPLO, N, A, LDA, ANORM, RCOND, WORK, WORK2,
             INFO)

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




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

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

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

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




   C INTERFACE
       #include <sunperf.h>

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

       void cpocon_64(char uplo, long n, complex *a, long  lda,  float  anorm,
                 float *rcond, long *info);



PURPOSE
       cpocon 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 CPOTRF.

       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 CPOTRF.


       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                        cpocon(3P)