solve_stacked_linear_problem.m 2.49 KB
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function [endogenousvariables, info] = solve_stacked_linear_problem(endogenousvariables, exogenousvariables, steadystate_y, steadystate_x, M, options)

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% Copyright (C) 2015-2019 Dynare Team
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%
% 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/>.

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[options, y0, yT, z, i_cols, i_cols_J1, i_cols_T, i_cols_j, i_cols_1, i_cols_0, i_cols_J0, dynamicmodel] = ...
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    initialize_stacked_problem(endogenousvariables, options, M, steadystate_y);
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ip = find(M.lead_lag_incidence(1,:)');
ic = find(M.lead_lag_incidence(2,:)');
in = find(M.lead_lag_incidence(3,:)');
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% Evaluate the Jacobian of the dynamic model at the deterministic steady state.
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[d1,jacobian] = dynamicmodel(steadystate_y([ip; ic; in]), transpose(steadystate_x), M.params, steadystate_y, 1);
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% Check that the dynamic model was evaluated at the steady state.
if max(abs(d1))>1e-12
    error('Jacobian is not evaluated at the steady state!')
end

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nyp = nnz(M.lead_lag_incidence(1,:));
ny0 = nnz(M.lead_lag_incidence(2,:));
nyf = nnz(M.lead_lag_incidence(3,:));
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nd = nyp+ny0+nyf; % size of y (first argument passed to the dynamic file).
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jexog = transpose(nd+(1:M.exo_nbr));
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jendo = transpose(1:nd);
z = bsxfun(@minus, z, steadystate_y);
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x = bsxfun(@minus, exogenousvariables, steadystate_x');
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[y, check] = dynare_solve(@linear_perfect_foresight_problem,z(:), options, ...
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                          jacobian, y0-steadystate_y, yT-steadystate_y, ...
                          x, M.params, steadystate_y, ...
                          M.maximum_lag, options.periods, M.endo_nbr, i_cols, ...
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                          i_cols_J1, i_cols_1, i_cols_T, i_cols_j, i_cols_0, i_cols_J0, ...
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                          jendo, jexog);
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if all(imag(y)<.1*options.dynatol.x)
    if ~isreal(y)
        y = real(y);
    end
else
    check = 1;
end

endogenousvariables = [y0 bsxfun(@plus,reshape(y,M.endo_nbr,options.periods), steadystate_y) yT];

if check
    info.status = false;
else
    info.status = true;
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end