zhptri(3) [debian man page]

zhptri.f(3)							      LAPACK							       zhptri.f(3)

NAME

       zhptri.f -

SYNOPSIS

   Functions/Subroutines
       subroutine zhptri (UPLO, N, AP, IPIV, WORK, INFO)
	   ZHPTRI

Function/Subroutine Documentation
   subroutine zhptri (characterUPLO, integerN, complex*16, dimension( * )AP, integer, dimension( * )IPIV, complex*16, dimension( * )WORK,
       integerINFO)
       ZHPTRI

       Purpose:

	    ZHPTRI computes the inverse of a complex Hermitian indefinite matrix
	    A in packed storage using the factorization A = U*D*U**H or
	    A = L*D*L**H computed by ZHPTRF.

       Parameters:
	   UPLO

		     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

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

	   AP

		     AP is COMPLEX*16 array, dimension (N*(N+1)/2)
		     On entry, the block diagonal matrix D and the multipliers
		     used to obtain the factor U or L as computed by ZHPTRF,
		     stored as a packed triangular matrix.

		     On exit, if INFO = 0, the (Hermitian) inverse of the original
		     matrix, stored as a packed triangular matrix. The j-th column
		     of inv(A) is stored in the array AP as follows:
		     if UPLO = 'U', AP(i + (j-1)*j/2) = inv(A)(i,j) for 1<=i<=j;
		     if UPLO = 'L',
			AP(i + (j-1)*(2n-j)/2) = inv(A)(i,j) for j<=i<=n.

	   IPIV

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

	   WORK

		     WORK is COMPLEX*16 array, dimension (N)

	   INFO

		     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.

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   November 2011

       Definition at line 110 of file zhptri.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.1							  Sun May 26 2013						       zhptri.f(3)

Check Out this Related Man Page

ZHPTRI(l)								 )								 ZHPTRI(l)

NAME

       ZHPTRI  -  compute  the	inverse  of  a complex Hermitian indefinite matrix A in packed storage using the factorization A = U*D*U**H or A =
       L*D*L**H computed by ZHPTRF

SYNOPSIS

       SUBROUTINE ZHPTRI( UPLO, N, AP, IPIV, WORK, INFO )

	   CHARACTER	  UPLO

	   INTEGER	  INFO, N

	   INTEGER	  IPIV( * )

	   COMPLEX*16	  AP( * ), WORK( * )

PURPOSE

       ZHPTRI computes the inverse of a complex Hermitian indefinite matrix A in packed storage using the  factorization  A  =	U*D*U**H  or  A  =
       L*D*L**H computed by ZHPTRF.

ARGUMENTS

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

       AP      (input/output) COMPLEX*16 array, dimension (N*(N+1)/2)
	       On entry, the block diagonal matrix D and the multipliers used to obtain the factor U or L as  computed	by  ZHPTRF,  stored  as  a
	       packed triangular matrix.

	       On  exit,  if  INFO  =  0, the (Hermitian) inverse of the original matrix, stored as a packed triangular matrix. The j-th column of
	       inv(A) is stored in the array AP as follows: if UPLO = 'U', AP(i + (j-1)*j/2) = inv(A)(i,j) for 1<=i<=j; if  UPLO  =  'L',  AP(i  +
	       (j-1)*(2n-j)/2) = inv(A)(i,j) for j<=i<=n.

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

       WORK    (workspace) COMPLEX*16 array, dimension (N)

       INFO    (output) 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.

LAPACK version 3.0						   15 June 2000 							 ZHPTRI(l)

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