dsytri man page on Scientific

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DSYTRI(1)		 LAPACK routine (version 3.2)		     DSYTRI(1)

NAME
       DSYTRI  -  computes the inverse of a real symmetric indefinite matrix A
       using the factorization A = U*D*U**T or A = L*D*L**T computed by DSYTRF

SYNOPSIS
       SUBROUTINE DSYTRI( UPLO, N, A, LDA, IPIV, WORK, INFO )

	   CHARACTER	  UPLO

	   INTEGER	  INFO, LDA, N

	   INTEGER	  IPIV( * )

	   DOUBLE	  PRECISION A( LDA, * ), WORK( * )

PURPOSE
       DSYTRI computes the inverse of a real  symmetric	 indefinite  matrix  A
       using  the  factorization  A  =	U*D*U**T  or  A = L*D*L**T computed by
       DSYTRF.

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.

       A       (input/output) DOUBLE PRECISION array, dimension (LDA,N)
	       On entry, the block diagonal matrix D and the multipliers  used
	       to obtain the factor U or L as computed by DSYTRF.  On exit, if
	       INFO = 0, the (symmetric) 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) INTEGER
	       The leading dimension of the array A.  LDA >= max(1,N).

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

       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			     DSYTRI(1)
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