dynare/matlab/qz/mjdgges.m

80 lines
2.4 KiB
Matlab

function [ss,tt,w,sdim,eigval,info] = mjdgges(e,d,qz_criterium)
%function [ss,tt,w,sdim,eigval,info] = mjdgges(e,d,qz_criterium)
% QZ decomposition, Sims' codes are used.
%
% INPUTS
% e [double] real square (n*n) matrix.
% d [double] real square (n*n) matrix.
% qz_criterium [double] scalar (1+epsilon).
%
% OUTPUTS
% ss [complex] (n*n) matrix.
% tt [complex] (n*n) matrix.
% w [complex] (n*n) matrix.
% sdim [integer] scalar.
% eigval [complex] (n*1) vector.
% info [integer] scalar.
%
% ALGORITHM
% Sims's qzdiv routine is used.
%
% SPECIAL REQUIREMENTS
% none.
% Copyright (C) 1996-2008 Dynare Team
%
% This file is part of Dynare.
%
% Dynare 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.
%
% Dynare 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 Dynare. If not, see <http://www.gnu.org/licenses/>.
% Chek number of inputs and outputs.
if nargin>3 | nargin<2
error('Three or two input arguments required!')
end
if nargout>6
error('No more than six output arguments!')
end
% Check the first two inputs.
[me,ne] = size(e);
[md,nd] = size(d);
if ( ~isreal(e) | ~isreal(d) | me~=ne | md~=nd | me~=nd)
% info should be negative in this case, see dgges.f.
error('MJDGGES requires two square real matrices of the same dimension.')
end
% Set default value of qz_criterium.
if nargin <3
qz_criterium = 1 + 1e-6;
end
% Initialization of the output arguments.
ss = zeros(ne,ne);
tt = zeros(ne,ne);
w = zeros(ne,ne);
sdim = 0;
eigval = zeros(ne,1);
info = 0;
% Computational part.
try
[ss,tt,qq,w] = qz(e,d);
if exist('OCTAVE_VERSION')
qq = qq';
end
[tt,ss,qq,w] = qzdiv(qz_criterium,tt,ss,qq,w);
warning_old_state = warning;
warning off;
eigval = diag(ss)./diag(tt);
warning(warning_old_state);
sdim = sum( abs(eigval) < qz_criterium );
catch
info = 1;% Not as precise as lapack's info!
end