dynare/matlab/mex/k_order_perturbation.m

44 lines
1.9 KiB
Matlab

% [dynpp_derivs, dyn_derivs] = k_order_perturbation(dr,M_,options_)
% computes a k-th order perturbation solution
%
% INPUTS
% dr: struct describing the reduced form solution of the model.
% M_: struct jobs's parameters
% options_: struct job's options
%
% OUTPUTS
% dynpp_derivs struct Derivatives of the decision rule in Dynare++ format.
% The tensors are folded and the Taylor coefficients (1/n!) are
% included.
% Fieldnames are g_0, g_1, g_2, …
% dyn_derivs struct Derivatives of the decision rule in Dynare format, up to third order.
% Matrices are dense and unfolded. The Taylor coefficients (1/2
% and 1/6) aren't included.
% The derivatives w.r.t. different categories of variables
% are separated.
% Fieldnames are:
% + gy, gu
% + if order ≥ 2: gyy, gyu, guu, gss
% + if order ≥ 3: gyyy, gyyu, gyuu, guuu, gyss, guss
%
% k_order_perturbation is a compiled MEX function. Its source code is in
% dynare/mex/sources/k_order_perturbation.cc and it uses code provided by
% dynare++
% Copyright © 2013-2023 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 <https://www.gnu.org/licenses/>.