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Updated: June 2017
 
 

zpotri (3p)

Name

zpotri - compute the inverse of a complex Hermitian positive definite matrix A using the Cholesky factorization A = U**H*U or A = L*L**H com- puted by ZPOTRF

Synopsis

SUBROUTINE ZPOTRI(UPLO, N, A, LDA, INFO)

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

SUBROUTINE ZPOTRI_64(UPLO, N, A, LDA, INFO)

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




F95 INTERFACE
SUBROUTINE POTRI(UPLO, N, A, LDA, INFO)

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

SUBROUTINE POTRI_64(UPLO, N, A, LDA, INFO)

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




C INTERFACE
#include <sunperf.h>

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

void  zpotri_64(char  uplo,  long  n,  doublecomplex *a, long lda, long
*info);

Description

Oracle Solaris Studio Performance Library                           zpotri(3P)



NAME
       zpotri  -  compute the inverse of a complex Hermitian positive definite
       matrix A using the Cholesky factorization A = U**H*U or A = L*L**H com-
       puted by ZPOTRF


SYNOPSIS
       SUBROUTINE ZPOTRI(UPLO, N, A, LDA, INFO)

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

       SUBROUTINE ZPOTRI_64(UPLO, N, A, LDA, INFO)

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




   F95 INTERFACE
       SUBROUTINE POTRI(UPLO, N, A, LDA, INFO)

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

       SUBROUTINE POTRI_64(UPLO, N, A, LDA, INFO)

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




   C INTERFACE
       #include <sunperf.h>

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

       void  zpotri_64(char  uplo,  long  n,  doublecomplex *a, long lda, long
                 *info);



PURPOSE
       zpotri computes the inverse of a complex  Hermitian  positive  definite
       matrix A using the Cholesky factorization A = U**H*U or A = L*L**H com-
       puted by ZPOTRF.


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/output)
                 On entry, the triangular factor U or L from the Cholesky fac-
                 torization  A  = U**H*U or A = L*L**H, as computed by ZPOTRF.
                 On exit, the upper  or  lower  triangle  of  the  (Hermitian)
                 inverse of A, overwriting the input factor U or L.


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


       INFO (output)
                 = 0:  successful exit
                 < 0:  if INFO = -i, the i-th argument had an illegal value
                 >  0:  if INFO = i, the (i,i) element of the factor U or L is
                 zero, and the inverse could not be computed.




                                  7 Nov 2015                        zpotri(3P)