function D = A_times_B_kronecker_C(A,B,C) %@info: %! @deftypefn {Function File} {[@var{D}, @var{err}] =} A_times_B_kronecker_C (@var{A},@var{B},@var{C}) %! @anchor{kronecker/A_times_B_kronecker_C} %! @sp 1 %! Computes A*kron(B,C). %! @sp 2 %! @strong{Inputs} %! @sp 1 %! @table @ @var %! @item A %! mA*nA matrix of doubles. %! @item B %! mB*nB matrix of doubles. %! @item C %! mC*nC matrix of doubles. %! @end table %! @sp 2 %! @strong{Outputs} %! @sp 1 %! @table @ @var %! @item D %! mA*(nC*nB) or mA*(nB*nB) matrix of doubles. %! @item err %! Integer scalar equal to zero (if all goes well). %! @end table %! @sp 2 %! @strong{Remarks} %! @sp 1 %! [1] This routine is called by Dynare if and only the mex version is not compiled (also used for testing purposes). %! @sp 1 %! [2] This routine can be called with three or four arguments. In the first case A*kron(B,B) is computed. %! @sp 2 %! @strong{This function is called by:} %! @sp 1 %! @ref{kronecker/sparse_hessian_times_B_kronecker_C}, @ref{dr1}, @ref{simult_} %! @sp 2 %! @strong{This function calls:} %! %! @end deftypefn %@eod: % Copyright (C) 1996-2020 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 . % Original author: stephane DOT adjemian AT univ DASH lemans DOT fr % Chek number of inputs and outputs. if nargin>4 || nargin<3 error('A_times_B_kronecker_C takes 3 or 4 input arguments and provides 2 output arguments.') end % Get & check dimensions. Initialization of the output matrix. [mA,nA] = size(A); [mB,nB] = size(B); if nargin == 4 [mC,nC] = size(C); if mB*mC ~= nA error('Input dimension error!') end D = zeros(mA,nB*nC); loop = (mB*nB*mC*nC > 1e7); else if mB*mB ~= nA error('Input dimension error!') end D = zeros(mA,nB*nB); loop = (mB*nB*mB*nB > 1e7); end % Computational part. if loop if nargin == 4 k1 = 1; for i1=1:nB for i2=1:nC D(:,k1) = A * kron(B(:,i1),C(:,i2)); k1 = k1 + 1; end end else k1 = 1; for i1=1:nB for i2=1:nB D(:,k1) = A * kron(B(:,i1),B(:,i2)); k1 = k1 + 1; end end end else if nargin == 4 D = A * kron(B,C); else D = A * kron(B,B); end end