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Updated: June 2017
 
 

csytri_rook (3p)

Name

csytri_rook - compute the inverse of a complex symmetric indefinite matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by CSYTRF_ROOK

Synopsis

SUBROUTINE CSYTRI_ROOK(UPLO, N, A, LDA, IPIV, WORK, INFO)

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

SUBROUTINE CSYTRI_ROOK_64(UPLO, N, A, LDA, IPIV, WORK, INFO)

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




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

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

SUBROUTINE SYTRI_ROOK_64(UPLO, N, A, LDA, IPIV, WORK, INFO)

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




C INTERFACE
#include <sunperf.h>

void  csytri_rook(char uplo, int n, complex *a, int lda, int *ipiv, int
*info);

void csytri_rook_64(char uplo, long  n,  complex  *a,  long  lda,  long
*ipiv, long *info);

Description

Oracle Solaris Studio Performance Library                      csytri_rook(3P)



NAME
       csytrii_rook  -  compute  the inverse of a complex symmetric indefinite
       matrix A using the factorization A = U*D*U**T or A = L*D*L**T  computed
       by CSYTRF_ROOK


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

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

       SUBROUTINE CSYTRI_ROOK_64(UPLO, N, A, LDA, IPIV, WORK, INFO)

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




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

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

       SUBROUTINE SYTRI_ROOK_64(UPLO, N, A, LDA, IPIV, WORK, INFO)

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




   C INTERFACE
       #include <sunperf.h>

       void  csytri_rook(char uplo, int n, complex *a, int lda, int *ipiv, int
                 *info);

       void csytri_rook_64(char uplo, long  n,  complex  *a,  long  lda,  long
                 *ipiv, long *info);



PURPOSE
       csytri_rook  computes  the  inverse  of  a complex symmetric indefinite
       matrix A using the factorization A = U*D*U**T or A = L*D*L**T  computed
       by CSYTRF_ROOK.


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


       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  CSYTRF_ROOK.

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


       IPIV (input)
                 Details of the interchanges and the block structure of  D  as
                 determined by CSYTRF_ROOK.


       WORK (workspace)
                 dimension(2*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                   csytri_rook(3P)