zhetri (3p)

Name

zhetri - compute the inverse of a complex Hermitian indefinite matrix A using the factorization A = U*D*U**H or A = L*D*L**H computed by ZHETRF

Synopsis

SUBROUTINE ZHETRI(UPLO, N, A, LDA, IPIVOT, WORK, INFO)

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

SUBROUTINE ZHETRI_64(UPLO, N, A, LDA, IPIVOT, WORK, INFO)

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




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

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

SUBROUTINE HETRI_64(UPLO, N, A, LDA, IPIVOT, WORK, INFO)

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




C INTERFACE
#include <sunperf.h>

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

void zhetri_64(char uplo, long n,  doublecomplex  *a,  long  lda,  long
*ipivot, long *info);

Description

Oracle Solaris Studio Performance Library                           zhetri(3P)



NAME
       zhetri - compute the inverse of a complex Hermitian indefinite matrix A
       using the factorization A = U*D*U**H or A = L*D*L**H computed by ZHETRF


SYNOPSIS
       SUBROUTINE ZHETRI(UPLO, N, A, LDA, IPIVOT, WORK, INFO)

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

       SUBROUTINE ZHETRI_64(UPLO, N, A, LDA, IPIVOT, WORK, INFO)

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




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

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

       SUBROUTINE HETRI_64(UPLO, N, A, LDA, IPIVOT, WORK, INFO)

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




   C INTERFACE
       #include <sunperf.h>

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

       void zhetri_64(char uplo, long n,  doublecomplex  *a,  long  lda,  long
                 *ipivot, long *info);



PURPOSE
       zhetri  computes the inverse of a complex Hermitian indefinite matrix A
       using the factorization A =  U*D*U**H  or  A  =  L*D*L**H  computed  by
       ZHETRF.


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)
                 On  entry,  the  block  diagonal matrix D and the multipliers
                 used to obtain the factor U or L as computed by ZHETRF.

                 On exit, if INFO = 0, the (Hermitian) inverse of the original
                 matrix.   If  UPLO  =  'U',  the upper triangular part of the
                 inverse is formed and the part of A below the diagonal is not
                 referenced;  if  UPLO  = 'L' the lower triangular part of the
                 inverse is formed and the part of A above the diagonal is not
                 referenced.


       LDA (input)
                 The leading dimension of the array A.  LDA >= max(1,N).


       IPIVOT (input)
                 Details  of  the interchanges and the block structure of D as
                 determined by ZHETRF.


       WORK (workspace)
                 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                        zhetri(3P)