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// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
// Copyright (C) ????-2008 - INRIA - François DELEBECQUE
//
// This file must be used under the terms of the CeCILL.
// This source file is licensed as described in the file COPYING, which
// you should have received as part of this distribution. The terms
// are also available at
// http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
function [X,dim]=range(A,k)
// Computation of Range A^k ; the first dim rows of X span the
// range of A^k.
//!
if argn(2)==1 then k=1,end
k=double(k)
if int(k)<>k|k<0 then
error(msprintf(gettext("%s: Wrong value for input argument #%d: Non-negative integer expected.\n"),'range',2));
end
if size(A,1)<>size(A,2)|~isreal(A) then
error(msprintf(gettext("%s: Wrong size for input argument #%d: A square matrix expected.\n"),'range',1));
end
if k==0 then
dim=size(A,1);X=eye(A);
else
[U,dim]=rowcomp(A);X=U;
for l=2:k
A=A*U';
[U,dim]=rowcomp(A(:,1:dim));
X=U*X;
end;
end
endfunction
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