• NAME
• SYNOPSIS
• F95 INTERFACE
• C INTERFACE
• PURPOSE
• ARGUMENTS

NAME

zhetri - compute 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 ZHETRI( UPLO, N, A, LDA, IPIVOT, WORK, INFO)
  CHARACTER * 1 UPLO
  DOUBLE COMPLEX A(LDA,*), WORK(*)
  INTEGER N, LDA, INFO
  INTEGER IPIVOT(*)

  SUBROUTINE ZHETRI_64( UPLO, N, A, LDA, IPIVOT, WORK, INFO)
  CHARACTER * 1 UPLO
  DOUBLE COMPLEX A(LDA,*), WORK(*)
  INTEGER*8 N, LDA, INFO
  INTEGER*8 IPIVOT(*)

F95 INTERFACE

  SUBROUTINE HETRI( UPLO, [N], A, [LDA], IPIVOT, [WORK], [INFO])
  CHARACTER(LEN=1) :: UPLO
  COMPLEX(8), DIMENSION(:) :: WORK
  COMPLEX(8), DIMENSION(:,:) :: A
  INTEGER :: N, LDA, INFO
  INTEGER, DIMENSION(:) :: IPIVOT

  SUBROUTINE HETRI_64( UPLO, [N], A, [LDA], IPIVOT, [WORK], [INFO])
  CHARACTER(LEN=1) :: UPLO
  COMPLEX(8), DIMENSION(:) :: WORK
  COMPLEX(8), DIMENSION(:,:) :: A
  INTEGER(8) :: N, LDA, INFO
  INTEGER(8), DIMENSION(:) :: IPIVOT

C INTERFACE

#include <sunperf.h>

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

void zhetri_64(char uplo, long n, doublecomplex *a, long lda, long *ipivot, long *info);

PURPOSE

zhetri 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)
  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)
  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 CHETRF.

  On exit, if INFO = 0, the (Hermitian) 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).

• IPIVOT (input)
  Details of the interchanges and the block structure of D as determined by CHETRF.

• WORK (workspace)
  dimension(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.