function [L,U] = lu_right (A)
%LU_RIGHT right-looking LU factorization.
% Example:
%   [L,U] = lu_right (A)
% See also: cs_demo

%   Copyright 2006-2007, Timothy A. Davis.
%   http://www.cise.ufl.edu/research/sparse

n = size (A,1) ;
L = eye (n) ;
U = zeros (n) ;
for k = 1:n
    U (k,k:n) = A (k,k:n) ;				       % (6.4) and (6.5)
    L (k+1:n,k) = A (k+1:n,k) / U (k,k) ;				 % (6.6)
    A (k+1:n,k+1:n) = A (k+1:n,k+1:n) - L (k+1:n,k) * U (k,k+1:n) ;	 % (6.7)
end