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chetri(3P)		    Sun Performance Library		    chetri(3P)

NAME
       chetri - 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 CHETRI(UPLO, N, A, LDA, IPIVOT, WORK, INFO)

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

       SUBROUTINE CHETRI_64(UPLO, N, A, LDA, IPIVOT, WORK, INFO)

       CHARACTER * 1 UPLO
       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, DIMENSION(:) :: WORK
       COMPLEX, DIMENSION(:,:) :: A
       INTEGER :: N, LDA, INFO
       INTEGER, DIMENSION(:) :: IPIVOT

       SUBROUTINE HETRI_64(UPLO, [N], A, [LDA], IPIVOT, [WORK], [INFO])

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

   C INTERFACE
       #include <sunperf.h>

       void chetri(char uplo, int n, complex *a, int  lda,  int	 *ipivot,  int
		 *info);

       void  chetri_64(char  uplo, long n, complex *a, long lda, long *ipivot,
		 long *info);

PURPOSE
       chetri 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 trian‐
		 gular, 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.

				  6 Mar 2009			    chetri(3P)

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