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DSPTRI(1)		 LAPACK routine (version 3.2)		     DSPTRI(1)

NAME
       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

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 triangu‐
	       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 (symmet‐
	       ric) inverse of the original matrix, stored as a packed	trian‐
	       gular  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 routine (version 3.2)	 November 2008			     DSPTRI(1)
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