zhptri (3p)

Name

zhptri - compute the inverse of a complex Hermitian indefinite matrix A in packed storage using the factorization A = U*D*U**H or A = L*D*L**H computed by ZHPTRF

Synopsis

SUBROUTINE ZHPTRI(UPLO, N, A, IPIVOT, WORK, INFO)

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

SUBROUTINE ZHPTRI_64(UPLO, N, A, IPIVOT, WORK, INFO)

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




F95 INTERFACE
SUBROUTINE HPTRI(UPLO, N, A, IPIVOT, WORK, INFO)

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

SUBROUTINE HPTRI_64(UPLO, N, A, IPIVOT, WORK, INFO)

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




C INTERFACE
#include <sunperf.h>

void  zhptri(char  uplo,  int  n,  doublecomplex  *a,  int *ipivot, int
*info);

void zhptri_64(char uplo, long n, doublecomplex *a, long *ipivot,  long
*info);

Description

Oracle Solaris Studio Performance Library                           zhptri(3P)



NAME
       zhptri - compute the inverse of a complex Hermitian indefinite matrix A
       in packed storage using the factorization A = U*D*U**H or A =  L*D*L**H
       computed by ZHPTRF


SYNOPSIS
       SUBROUTINE ZHPTRI(UPLO, N, A, IPIVOT, WORK, INFO)

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

       SUBROUTINE ZHPTRI_64(UPLO, N, A, IPIVOT, WORK, INFO)

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




   F95 INTERFACE
       SUBROUTINE HPTRI(UPLO, N, A, IPIVOT, WORK, INFO)

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

       SUBROUTINE HPTRI_64(UPLO, N, A, IPIVOT, WORK, INFO)

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




   C INTERFACE
       #include <sunperf.h>

       void  zhptri(char  uplo,  int  n,  doublecomplex  *a,  int *ipivot, int
                 *info);

       void zhptri_64(char uplo, long n, doublecomplex *a, long *ipivot,  long
                 *info);



PURPOSE
       zhptri  computes the inverse of a complex Hermitian indefinite matrix A
       in packed storage using the factorization A = U*D*U**H or A =  L*D*L**H
       computed by ZHPTRF.


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/output) COMPLEX*16 array, dimension (N*(N+1)/2)
                 On  entry,  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.

                 On exit, if INFO = 0, the (Hermitian) inverse of the original
                 matrix, stored as a packed triangular matrix. The j-th column
                 of inv(A) is stored in the array A as follows: if UPLO = 'U',
                 A(i + (j-1)*j/2) = inv(A)(i,j) for 1<=i<=j; if  UPLO  =  'L',
                 A(i + (j-1)*(2n-j)/2) = inv(A)(i,j) for j<=i<=n.


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


       WORK (workspace)
                 COMPLEX*16 array, dimension(N)

       INFO (output)
                 = 0: successful exit
                 < 0: if INFO = -i, the i-th argument had an illegal value
                 > 0: if INFO = i, D(i,i) = 0; the matrix is singular and  its
                 inverse could not be computed.




                                  7 Nov 2015                        zhptri(3P)