zhpcon (3p)

Name

zhpcon - 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 ZHPTRF

Synopsis

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

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

SUBROUTINE ZHPCON_64(UPLO, N, A, IPIVOT, ANORM, RCOND, WORK, INFO)

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




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

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

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

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




C INTERFACE
#include <sunperf.h>

void  zhpcon(char  uplo,  int  n, doublecomplex *a, int *ipivot, double
anorm, double *rcond, int *info);

void zhpcon_64(char uplo, long n, doublecomplex *a, long *ipivot,  dou-
ble anorm, double *rcond, long *info);

Description

Oracle Solaris Studio Performance Library                           zhpcon(3P)



NAME
       zhpcon  -  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 ZHPTRF


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

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

       SUBROUTINE ZHPCON_64(UPLO, N, A, IPIVOT, ANORM, RCOND, WORK, INFO)

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




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

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

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

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




   C INTERFACE
       #include <sunperf.h>

       void  zhpcon(char  uplo,  int  n, doublecomplex *a, int *ipivot, double
                 anorm, double *rcond, int *info);

       void zhpcon_64(char uplo, long n, doublecomplex *a, long *ipivot,  dou-
                 ble anorm, double *rcond, long *info);



PURPOSE
       zhpcon  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 ZHPTRF.

       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*16 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 ZHPTRF, stored as a
                 packed triangular matrix.


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


       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*16 array, dimension(2*N)

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




                                  7 Nov 2015                        zhpcon(3P)