function [JJ, H, gam, gp, dA, dOm, dYss] = getJJ(A, B, M_,oo_,options_,kronflag,indx,indexo,mf,nlags,useautocorr) % Copyright (C) 2010-2012 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 . if nargin<7 || isempty(indx), indx = [1:M_.param_nbr];, end, if nargin<8 || isempty(indexo), indexo = [];, end, if nargin<10 || isempty(nlags), nlags=3; end, if nargin<11 || isempty(useautocorr), useautocorr=0; end, % if useautocorr, warning('off','MATLAB:divideByZero') % end if kronflag == -1, fun = 'thet2tau'; params0 = M_.params; JJ = fjaco(fun,[sqrt(diag(M_.Sigma_e(indexo,indexo))); M_.params(indx)],M_, oo_, indx,indexo,1,mf,nlags,useautocorr); M_.params = params0; params0 = M_.params; H = fjaco(fun,[sqrt(diag(M_.Sigma_e(indexo,indexo))); M_.params(indx)],M_, oo_, indx,indexo,0,mf,nlags,useautocorr); M_.params = params0; params0 = M_.params; gp = fjaco(fun,[sqrt(diag(M_.Sigma_e(indexo,indexo))); M_.params(indx)],M_, oo_, indx,indexo,-1); M_.params = params0; offset = length(indexo); gp = gp(:,offset+1:end); dYss = H(1:M_.endo_nbr,offset+1:end); dA = reshape(H(M_.orig_endo_nbr+[1:numel(A)],:),[size(A),size(H,2)]); dOm = dA*0; for j=1:size(H,2), dOm(:,:,j) = dyn_unvech(H(M_.orig_endo_nbr+numel(A)+1:end,j)); end assignin('base','M_', M_); assignin('base','oo_', oo_); else [H, dA, dOm, dYss, gp] = getH(A, B, M_,oo_,options_,kronflag,indx,indexo); gp = reshape(gp,size(gp,1)*size(gp,2),size(gp,3)); gp = [dYss; gp]; % if isempty(H), % JJ = []; % GAM = []; % return % end m = length(A); GAM = lyapunov_symm(A,B*M_.Sigma_e*B',options_.qz_criterium,options_.lyapunov_complex_threshold,1); k = find(abs(GAM) < 1e-12); GAM(k) = 0; % if useautocorr, sdy = sqrt(diag(GAM)); sy = sdy*sdy'; % end % BB = dOm*0; % for j=1:length(indx), % BB(:,:,j)= dA(:,:,j)*GAM*A'+A*GAM*dA(:,:,j)'+dOm(:,:,j); % end % XX = lyapunov_symm_mr(A,BB,options_.qz_criterium,options_.lyapunov_complex_threshold,0); for j=1:length(indexo), dum = lyapunov_symm(A,dOm(:,:,j),options_.qz_criterium,options_.lyapunov_complex_threshold,2); % dum = XX(:,:,j); k = find(abs(dum) < 1e-12); dum(k) = 0; if useautocorr dsy = 1/2./sdy.*diag(dum); dsy = dsy*sdy'+sdy*dsy'; dum1=dum; dum1 = (dum1.*sy-dsy.*GAM)./(sy.*sy); dum1 = dum1-diag(diag(dum1))+diag(diag(dum)); dumm = dyn_vech(dum1(mf,mf)); else dumm = dyn_vech(dum(mf,mf)); end for i=1:nlags, dum1 = A^i*dum; if useautocorr dum1 = (dum1.*sy-dsy.*(A^i*GAM))./(sy.*sy); end dumm = [dumm; vec(dum1(mf,mf))]; end JJ(:,j) = dumm; end nexo = length(indexo); for j=1:length(indx), dum = lyapunov_symm(A,dA(:,:,j+nexo)*GAM*A'+A*GAM*dA(:,:,j+nexo)'+dOm(:,:,j+nexo),options_.qz_criterium,options_.lyapunov_complex_threshold,2); % dum = XX(:,:,j); k = find(abs(dum) < 1e-12); dum(k) = 0; if useautocorr dsy = 1/2./sdy.*diag(dum); dsy = dsy*sdy'+sdy*dsy'; dum1=dum; dum1 = (dum1.*sy-dsy.*GAM)./(sy.*sy); dum1 = dum1-diag(diag(dum1))+diag(diag(dum)); dumm = dyn_vech(dum1(mf,mf)); else dumm = dyn_vech(dum(mf,mf)); end for i=1:nlags, dum1 = A^i*dum; for ii=1:i, dum1 = dum1 + A^(ii-1)*dA(:,:,j+nexo)*A^(i-ii)*GAM; end if useautocorr dum1 = (dum1.*sy-dsy.*(A^i*GAM))./(sy.*sy); end dumm = [dumm; vec(dum1(mf,mf))]; end JJ(:,j+nexo) = dumm; end JJ = [ [zeros(length(mf),nexo) dYss(mf,:)]; JJ]; end if nargout >2, % sy=sy(mf,mf); options_.ar=nlags; [GAM,stationary_vars] = th_autocovariances(oo_.dr,oo_.dr.order_var(mf),M_,options_); sy=sqrt(diag(GAM{1})); sy=sy*sy'; if useautocorr, sy=sy-diag(diag(sy))+eye(length(mf)); GAM{1}=GAM{1}./sy; else for j=1:nlags, GAM{j+1}=GAM{j+1}.*sy; end end gam = dyn_vech(GAM{1}); for j=1:nlags, gam = [gam; vec(GAM{j+1})]; end end gam = [oo_.dr.ys(oo_.dr.order_var(mf)); gam]; % if useautocorr, warning('on','MATLAB:divideByZero') % end