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% LINSOLVE [STK internal]
%
% CALL: w = linsolve (kreq, rs)
%
%    Overload base function 'linsolve' for stk_kreq_qr objects.

% Copyright Notice
%
%    Copyright (C) 2011-2014 SUPELEC
%
%    Authors:  Julien Bect       <julien.bect@centralesupelec.fr>
%              Emmanuel Vazquez  <emmanuel.vazquez@centralesupelec.fr>

% Copying Permission Statement
%
%    This file is part of
%
%            STK: a Small (Matlab/Octave) Toolbox for Kriging
%               (https://github.com/stk-kriging/stk/)
%
%    STK is free software: you can redistribute it and/or modify it under
%    the terms of the GNU General Public License as published by the Free
%    Software Foundation,  either version 3  of the License, or  (at your
%    option) any later version.
%
%    STK is distributed  in the hope that it will  be useful, but WITHOUT
%    ANY WARRANTY;  without even the implied  warranty of MERCHANTABILITY
%    or FITNESS  FOR A  PARTICULAR PURPOSE.  See  the GNU  General Public
%    License for more details.
%
%    You should  have received a copy  of the GNU  General Public License
%    along with STK.  If not, see <http://www.gnu.org/licenses/>.

function w = linsolve (kreq, rs)

if nargin < 2
    rs = kreq.RS;
end

% Solves the linear equation A * ws = rs, where A is the kriging matrix

w = linsolve (kreq.LS_R, kreq.LS_Q' * rs, struct ('UT', true));

end % function