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function vx1 = get_variance_of_endogenous_variables(dr,i_var)
% function vx1 = get_variance_of_endogenous_variables(dr,i_var)
% Gets the variance of a variables subset
%
% INPUTS
% dr: structure of decisions rules for stochastic simulations
% i_var: indices of a variables list
%
% OUTPUTS
% vx1: variance-covariance matrix
%
% SPECIAL REQUIREMENTS
% none
% Copyright (C) 2003-2011 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/>.
global M_ options_
endo_nbr = M_.endo_nbr;
Sigma_e = M_.Sigma_e;
nstatic = dr.nstatic;
npred = dr.npred;
ghx = dr.ghx(i_var,:);
ghu = dr.ghu(i_var,:);
nc = size(ghx,2);
n = length(i_var);
[A,B] = kalman_transition_matrix(dr,nstatic+(1:npred),1:nc,M_.exo_nbr);
[vx,u] = lyapunov_symm(A,B*Sigma_e*B',options_.qz_criterium,options_.lyapunov_complex_threshold);
if size(u,2) > 0
i_stat_0 = find(any(abs(A*u) < options_.Schur_vec_tol,2));
i_stat = find(any(abs(ghx*u) < options_.Schur_vec_tol,2));
ghx = ghx(i_stat,:);
ghu = ghu(i_stat,:);
else
i_stat_0 = 1:size(ghx,2);
i_stat = (1:n)';
end
vx1 = Inf*ones(n,n);
vx1(i_stat,i_stat) = ghx(:,i_stat_0)*vx(i_stat_0,i_stat_0)*ghx(:,i_stat_0)'+ghu*Sigma_e*ghu';
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