File: univariate_computeDstate.m

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function [Da1,DP1,D2a,D2P] = univariate_computeDstate(k,a,P,T,Da,DP,DT,DOm,notsteady,D2a,D2P,D2T,D2Om)

% Copyright (C) 2012 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/>.

% AUTHOR(S) marco.ratto@jrc.ec.europa.eu


DP1=DP*0;
Da1=Da*0;
for j=1:k,
    Da1(:,j) = T*Da(:,j) + DT(:,:,j)*a;
    if notsteady,
        DP1(:,:,j) = T*DP(:,:,j)*T'+DT(:,:,j)*P*T'+T*P*DT(:,:,j)';
    else
        DP1=DP;
    end
end
if notsteady,
    DP1 = DP1 + DOm;
end
if nargout>2,
    for j=1:k,
        for i=1:j,
            D2a(:,j,i) = DT(:,:,i)*Da(:,j) + DT(:,:,j)*Da(:,i) + T*D2a(:,j,i)+ D2T(:,:,j,i)*a;
            D2a(:,i,j) = D2a(:,j,i);
            if notsteady,
                D2P(:,:,j,i) = T*D2P(:,:,j,i)*T' +DT(:,:,i)*DP(:,:,j)*T'+T*DP(:,:,j)*DT(:,:,i)' + ...
                    DT(:,:,j)*DP(:,:,i)*T'+T*DP(:,:,i)*DT(:,:,j)' + ...
                    DT(:,:,j)*P*DT(:,:,i)'+DT(:,:,i)*P*DT(:,:,j)'+ ...
                    D2T(:,:,j,i)*P*T'+T*P*D2T(:,:,j,i)';
                D2P(:,:,i,j) = D2P(:,:,j,i);
            end
        end
    end
    
    if notsteady,
        D2P = D2P + D2Om;
    end
end