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DSPTRI(l)			       )			     DSPTRI(l)

NAME
       DSPTRI - compute the inverse of a real symmetric indefinite matrix A in
       packed storage using the factorization A = U*D*U**T  or	A  =  L*D*L**T
       computed by DSPTRF

SYNOPSIS
       SUBROUTINE DSPTRI( UPLO, N, AP, IPIV, WORK, INFO )

	   CHARACTER	  UPLO

	   INTEGER	  INFO, N

	   INTEGER	  IPIV( * )

	   DOUBLE	  PRECISION AP( * ), WORK( * )

PURPOSE
       DSPTRI  computes the inverse of a real symmetric indefinite matrix A in
       packed storage using the factorization A = U*D*U**T  or	A  =  L*D*L**T
       computed by DSPTRF.

ARGUMENTS
       UPLO    (input) CHARACTER*1
	       Specifies  whether  the details of the factorization are stored
	       as an upper or lower triangular matrix.	= 'U':	Upper trianguā€
	       lar, 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) DOUBLE PRECISION 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 DSPTRF, 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 DSPTRF.

       WORK    (workspace) DOUBLE PRECISION 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			     DSPTRI(l)
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