chpcon (3p)

Name

chpcon - estimate the reciprocal of the condition number of a complex Hermitian packed matrix A using the factorization A = U*D*U**H or A = L*D*L**H computed by CHPTRF

Synopsis

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

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

SUBROUTINE CHPCON_64(UPLO, N, A, IPIVOT, ANORM, RCOND, WORK, INFO)

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




F95 INTERFACE
SUBROUTINE HPCON(UPLO, N, A, IPIVOT, ANORM, RCOND, WORK, INFO)

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

SUBROUTINE HPCON_64(UPLO, N, A, IPIVOT, ANORM, RCOND, WORK, INFO)

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




C INTERFACE
#include <sunperf.h>

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

void chpcon_64(char uplo, long  n,  complex  *a,  long  *ipivot,  float
anorm, float *rcond, long *info);

Description

Oracle Solaris Studio Performance Library                           chpcon(3P)



NAME
       chpcon  -  estimate the reciprocal of the condition number of a complex
       Hermitian packed matrix A using the factorization A = U*D*U**H or  A  =
       L*D*L**H computed by CHPTRF


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

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

       SUBROUTINE CHPCON_64(UPLO, N, A, IPIVOT, ANORM, RCOND, WORK, INFO)

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




   F95 INTERFACE
       SUBROUTINE HPCON(UPLO, N, A, IPIVOT, ANORM, RCOND, WORK, INFO)

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

       SUBROUTINE HPCON_64(UPLO, N, A, IPIVOT, ANORM, RCOND, WORK, INFO)

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




   C INTERFACE
       #include <sunperf.h>

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

       void chpcon_64(char uplo, long  n,  complex  *a,  long  *ipivot,  float
                 anorm, float *rcond, long *info);



PURPOSE
       chpcon  estimates  the  reciprocal of the condition number of a complex
       Hermitian packed matrix A using the factorization A = U*D*U**H or  A  =
       L*D*L**H computed by CHPTRF.

       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**H;
                 = 'L':  Lower triangular, form is A = L*D*L**H.


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


       A (input) COMPLEX array, dimension (N*(N+1)/2)
                 The block diagonal matrix  D  and  the  multipliers  used  to
                 obtain  the  factor U or L as computed by CHPTRF, stored as a
                 packed triangular matrix.


       IPIVOT (input) (input) INTEGER array, dimension (N)
                 Details of the interchanges and the block structure of  D  as
                 determined by CHPTRF.


       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)
                 COMPLEX array, dimension(2*N)

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




                                  7 Nov 2015                        chpcon(3P)