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csptri.f(3) [debian man page]

csptri.f(3)							      LAPACK							       csptri.f(3)

NAME

       csptri.f -

SYNOPSIS

   Functions/Subroutines
       subroutine csptri (UPLO, N, AP, IPIV, WORK, INFO)
	   CSPTRI

Function/Subroutine Documentation
   subroutine csptri (characterUPLO, integerN, complex, dimension( * )AP, integer, dimension( * )IPIV, complex, dimension( * )WORK, integerINFO)
       CSPTRI

       Purpose:

	    CSPTRI computes the inverse of a complex symmetric indefinite matrix
	    A in packed storage using the factorization A = U*D*U**T or
	    A = L*D*L**T computed by CSPTRF.

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

	   N

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

	   AP

		     AP is COMPLEX 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 CSPTRF,
		     stored as a packed triangular matrix.

		     On exit, if INFO = 0, the (symmetric) 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 CSPTRF.

	   WORK

		     WORK is COMPLEX 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 csptri.f.

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

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

Check Out this Related Man Page

CSPTRI(l)								 )								 CSPTRI(l)

NAME

       CSPTRI  -  compute  the	inverse  of  a complex symmetric indefinite matrix A in packed storage using the factorization A = U*D*U**T or A =
       L*D*L**T computed by CSPTRF

SYNOPSIS

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

	   CHARACTER	  UPLO

	   INTEGER	  INFO, N

	   INTEGER	  IPIV( * )

	   COMPLEX	  AP( * ), WORK( * )

PURPOSE

       CSPTRI computes the inverse of a complex symmetric indefinite matrix A in packed storage using the  factorization  A  =	U*D*U**T  or  A  =
       L*D*L**T computed by CSPTRF.

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

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

       AP      (input/output) COMPLEX 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  CSPTRF,  stored  as  a
	       packed triangular matrix.

	       On  exit,  if  INFO  =  0, the (symmetric) 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 CSPTRF.

       WORK    (workspace) COMPLEX 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 							 CSPTRI(l)
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