c----------------------------------------------------------------------- c c R : A Computer Langage for Statistical Data Analysis c Copyright (C) 1996, 1997 Robert Gentleman and Ross Ihaka c Copyright (C) 2001 The R Development Core Team c c This program is free software; you can redistribute it and/or modify c it under the terms of the GNU General Public License as published by c the Free Software Foundation; either version 2 of the License, or c (at your option) any later version. c c This program is distributed in the hope that it will be useful, c but WITHOUT ANY WARRANTY; without even the implied warranty of c MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the c GNU General Public License for more details. c c You should have received a copy of the GNU General Public License c along with this program; if not, a copy is available at c http://www.r-project.org/Licenses/ c c----------------------------------------------------------------------- c c ch2inv(x, ldx, n, v, info) computes the inverse of a positive-definite c symmetric matrix from its choleski factorization. c This can be used, e.g., to compute the dispersion matrix for the estimated c parameters in a regression analysis. c c On Entry c c x double precision(ldx,n) {ldx >= n} c the choleski decomposition or the qr decomposition c as computed by dqrdc or dqrdc2. Only the c UPPER TRIANGULAR part, x(i,j), 1 <= i <= j <= n, is accessed. c c ldx integer, ldx >= n c the leading dimension of the array x c c n integer c the number of rows and columns of the matrix x c c On Return c c v double precision(n,n) c the value of inverse(x'x) c c This version dated Aug 24, 1996. c Ross Ihaka, University of Auckland. c subroutine ch2inv(x, ldx, n, v, info) c implicit none integer n, ldx, info double precision x(ldx, n), v(n, n) c double precision d integer i, j, im1 c do 20 i=1,n if(x(i,i) .eq. 0.0d0) then info = i return end if do 10 j=i,n v(i,j) = x(i,j) 10 continue 20 continue call dpodi(v, n, n, d, 1) do 40 i=1,n im1 = i-1 do 30 j=1,im1 v(i,j) = v(j,i) 30 continue 40 continue return end