SPPTRI(l)		LAPACK routine (version	1.1)		    SPPTRI(l)

NAME
  SPPTRI - compute the inverse of a real symmetric positive definite matrix A
  using	the Cholesky factorization A = U**T*U or A = L*L**T computed by
  SPPTRF

SYNOPSIS

  SUBROUTINE SPPTRI( UPLO, N, AP, INFO )

      CHARACTER	     UPLO

      INTEGER	     INFO, N

      REAL	     AP( * )

PURPOSE
  SPPTRI computes the inverse of a real	symmetric positive definite matrix A
  using	the Cholesky factorization A = U**T*U or A = L*L**T computed by
  SPPTRF.

ARGUMENTS

  UPLO	  (input) CHARACTER*1
	  = 'U':  Upper	triangular factor is stored in AP;
	  = 'L':  Lower	triangular factor is stored in AP.

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

  AP	  (input/output) REAL array, dimension (N*(N+1)/2)
	  On entry, the	triangular factor U or L from the Cholesky factoriza-
	  tion A = U**T*U or A = L*L**T, packed	columnwise as a	linear array.
	  The j-th column of U or L is stored in the array AP as follows: if
	  UPLO = 'U', AP(i + (j-1)*j/2)	= U(i,j) for 1<=i<=j; if UPLO =	'L',
	  AP(i + (j-1)*(2n-j)/2) = L(i,j) for j<=i<=n.

	  On exit, the upper or	lower triangle of the (symmetric) inverse of
	  A, overwriting the input factor U or L.

  INFO	  (output) INTEGER
	  = 0:	successful exit
	  < 0:	if INFO	= -i, the i-th argument	had an illegal value
	  > 0:	if INFO	= i, the (i,i) element of the factor U or L is zero,
	  and the inverse could	not be computed.


Back to the listing of computational routines for linear equations