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Updated: June 2017
 
 

dpotri (3p)

Name

dpotri - compute the inverse of a real symmetric positive definite matrix A using the Cholesky factorization A = U**T*U or A = L*L**T com- puted by DPOTRF

Synopsis

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

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

SUBROUTINE DPOTRI_64(UPLO, N, A, LDA, INFO)

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




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

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

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

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




C INTERFACE
#include <sunperf.h>

void dpotri(char uplo, int n, double *a, int lda, int *info);

void dpotri_64(char uplo, long n, double *a, long lda, long *info);

Description

Oracle Solaris Studio Performance Library                           dpotri(3P)



NAME
       dpotri  -  compute  the  inverse  of a real symmetric positive definite
       matrix A using the Cholesky factorization A = U**T*U or A = L*L**T com-
       puted by DPOTRF


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

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

       SUBROUTINE DPOTRI_64(UPLO, N, A, LDA, INFO)

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




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

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

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

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




   C INTERFACE
       #include <sunperf.h>

       void dpotri(char uplo, int n, double *a, int lda, int *info);

       void dpotri_64(char uplo, long n, double *a, long lda, long *info);



PURPOSE
       dpotri  computes  the  inverse  of  a  real symmetric positive definite
       matrix A using the Cholesky factorization A = U**T*U or A = L*L**T com-
       puted by DPOTRF.


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**T*U or A = L*L**T, as computed  by  DPOTRF.
                 On  exit,  the  upper  or  lower  triangle of the (symmetric)
                 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                        dpotri(3P)