chetri2 (3p)

Name

chetri2 - compute the inverse of a COMPLEX Hermitian indefinite matrix A using the factorization A=U*D*U**T or A=L*D*L**T computed by CHETRF

Synopsis

SUBROUTINE CHETRI2(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)


CHARACTER*1 UPLO

INTEGER INFO, LDA, LWORK, N

INTEGER IPIV(*)

COMPLEX A(LDA,*), WORK(*)


SUBROUTINE CHETRI2_64(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)


CHARACTER*1 UPLO

INTEGER*8 INFO, LDA, LWORK, N

INTEGER*8 IPIV(*)

COMPLEX A(LDA,*), WORK(*)


F95 INTERFACE
SUBROUTINE HETRI2(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)


INTEGER :: N, LDA, LWORK, INFO

CHARACTER(LEN=1) :: UPLO

INTEGER, DIMENSION(:) :: IPIV

COMPLEX, DIMENSION(:,:) :: A

COMPLEX, DIMENSION(:) :: WORK


SUBROUTINE HETRI2_64(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)


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

CHARACTER(LEN=1) :: UPLO

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

COMPLEX, DIMENSION(:,:) :: A

COMPLEX, DIMENSION(:) :: WORK


C INTERFACE
#include <sunperf.h>

void chetri2 (char uplo, int n, floatcomplex *a, int  lda,  int  *ipiv,
int *info);


void  chetri2_64  (char  uplo,  long n, floatcomplex *a, long lda, long
*ipiv, long *info);

Description

Oracle Solaris Studio Performance Library                          chetri2(3P)



NAME
       chetri2  - compute the inverse of a COMPLEX Hermitian indefinite matrix
       A using the factorization A=U*D*U**T or A=L*D*L**T computed by CHETRF


SYNOPSIS
       SUBROUTINE CHETRI2(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)


       CHARACTER*1 UPLO

       INTEGER INFO, LDA, LWORK, N

       INTEGER IPIV(*)

       COMPLEX A(LDA,*), WORK(*)


       SUBROUTINE CHETRI2_64(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)


       CHARACTER*1 UPLO

       INTEGER*8 INFO, LDA, LWORK, N

       INTEGER*8 IPIV(*)

       COMPLEX A(LDA,*), WORK(*)


   F95 INTERFACE
       SUBROUTINE HETRI2(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)


       INTEGER :: N, LDA, LWORK, INFO

       CHARACTER(LEN=1) :: UPLO

       INTEGER, DIMENSION(:) :: IPIV

       COMPLEX, DIMENSION(:,:) :: A

       COMPLEX, DIMENSION(:) :: WORK


       SUBROUTINE HETRI2_64(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)


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

       CHARACTER(LEN=1) :: UPLO

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

       COMPLEX, DIMENSION(:,:) :: A

       COMPLEX, DIMENSION(:) :: WORK


   C INTERFACE
       #include <sunperf.h>

       void chetri2 (char uplo, int n, floatcomplex *a, int  lda,  int  *ipiv,
                 int *info);


       void  chetri2_64  (char  uplo,  long n, floatcomplex *a, long lda, long
                 *ipiv, long *info);


PURPOSE
       chetri2 computes the inverse of a COMPLEX hermitian indefinite matrix A
       using  the  factorization  A=U*D*U**T or A=L*D*L**T computed by CHETRF.
       CHETRI2 set the LEADING  DIMENSION  of  the  workspace  before  calling
       CHETRI2X that actually computes the inverse.


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**T;
                 = 'L':  Lower triangular, form is A=L*D*L**T.


       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)


       LWORK (input)
                 LWORK is INTEGER
                 The dimension of the array WORK.
                 WORK is size >= (N+NB+1)*(NB+3)
                 If LWORK = -1, then a workspace query is assumed; the routine
                 calculates:
                 - the optimal size of the WORK array, returns this  value  as
                 the first entry of the WORK array,
                 -  and no error message related to LWORK is issued by XERBLA.


       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                       chetri2(3P)