chetri2x (3p)

Name

chetri2x - 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 CHETRF

Synopsis

SUBROUTINE CHETRI2X( UPLO, N, A, LDA, IPIV, WORK, NB, INFO )


CHARACTER*1 UPLO

INTEGER INFO, LDA, N, NB

INTEGER IPIV(*)

COMPLEX A(LDA,*), WORK(N+NB+1,*)


SUBROUTINE CHETRI2X_64( UPLO, N, A, LDA, IPIV, WORK, NB, INFO )


CHARACTER*1 UPLO

INTEGER*8 INFO, LDA, N, NB

INTEGER*8 IPIV(*)

COMPLEX A(LDA,*), WORK(N+NB+1,*)


F95 INTERFACE
SUBROUTINE HETRI2X( UPLO, N, A, LDA, IPIV, WORK, NB, INFO )


INTEGER :: N, LDA, NB, INFO

CHARACTER(LEN=1) :: UPLO

INTEGER, DIMENSION(:) :: IPIV

COMPLEX, DIMENSION(:,:) :: A

COMPLEX, DIMENSION(:) :: WORK


SUBROUTINE HETRI2X_64( UPLO, N, A, LDA, IPIV, WORK, NB, INFO )


INTEGER(8) :: N, LDA, NB, INFO

CHARACTER(LEN=1) :: UPLO

INTEGER(8), DIMENSION(:) :: IPIV

COMPLEX, DIMENSION(:,:) :: A

COMPLEX, DIMENSION(:) :: WORK


C INTERFACE
#include <sunperf.h>

void  chetri2x  (char uplo, int n, floatcomplex *a, int lda, int *ipiv,
int nb, int *info);


void chetri2x_64 (char uplo, long n, floatcomplex *a,  long  lda,  long
*ipiv, long nb, long *info);

Description

Oracle Solaris Studio Performance Library                         chetri2x(3P)



NAME
       chetri2x  -  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 CHETRF


SYNOPSIS
       SUBROUTINE CHETRI2X( UPLO, N, A, LDA, IPIV, WORK, NB, INFO )


       CHARACTER*1 UPLO

       INTEGER INFO, LDA, N, NB

       INTEGER IPIV(*)

       COMPLEX A(LDA,*), WORK(N+NB+1,*)


       SUBROUTINE CHETRI2X_64( UPLO, N, A, LDA, IPIV, WORK, NB, INFO )


       CHARACTER*1 UPLO

       INTEGER*8 INFO, LDA, N, NB

       INTEGER*8 IPIV(*)

       COMPLEX A(LDA,*), WORK(N+NB+1,*)


   F95 INTERFACE
       SUBROUTINE HETRI2X( UPLO, N, A, LDA, IPIV, WORK, NB, INFO )


       INTEGER :: N, LDA, NB, INFO

       CHARACTER(LEN=1) :: UPLO

       INTEGER, DIMENSION(:) :: IPIV

       COMPLEX, DIMENSION(:,:) :: A

       COMPLEX, DIMENSION(:) :: WORK


       SUBROUTINE HETRI2X_64( UPLO, N, A, LDA, IPIV, WORK, NB, INFO )


       INTEGER(8) :: N, LDA, NB, INFO

       CHARACTER(LEN=1) :: UPLO

       INTEGER(8), DIMENSION(:) :: IPIV

       COMPLEX, DIMENSION(:,:) :: A

       COMPLEX, DIMENSION(:) :: WORK


   C INTERFACE
       #include <sunperf.h>

       void  chetri2x  (char uplo, int n, floatcomplex *a, int lda, int *ipiv,
                 int nb, int *info);


       void chetri2x_64 (char uplo, long n, floatcomplex *a,  long  lda,  long
                 *ipiv, long nb, long *info);


PURPOSE
       chetri2x  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
       CHETRF.


ARGUMENTS
       UPLO (input)
                 UPLO is CHARACTER*1
                 Specifies whether the details of the factorization are stored
                 as an upper or lower triangular matrix.
                 = 'U':  Upper triangular, form is A = U*D*U**H;
                 = 'L':  Lower triangular, form is A = L*D*L**H.


       N (input)
                 N is INTEGER
                 The order of the matrix A.  N >= 0.


       A (input/output)
                 A is COMPLEX array, dimension (LDA,N)
                 On entry, the NB diagonal matrix D and the multipliers
                 used to obtain the factor U or L as computed by CHETRF.
                 On exit, if INFO = 0, the (symmetric) 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)
                 LDA is INTEGER
                 The leading dimension of the array A.  LDA >= max(1,N).


       IPIV (input)
                 IPIV is INTEGER array, dimension (N)
                 Details of the interchanges and the NB structure of D
                 as determined by CHETRF.


       WORK (output)
                 WORK is COMPLEX array, dimension (N+NB+1,NB+3)


       NB (input)
                 NB is INTEGER
                 Block size


       INFO (output)
                 INFO is INTEGER
                 = 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                      chetri2x(3P)