function D = A_times_B_kronecker_C(A,B,C) %function D = A_times_B_kronecker_C(A,B,C) % Computes A * kron(B,C). % % INPUTS % A [double] mA*nA matrix. % B [double] mB*nB matrix. % C [double] mC*nC matrix. % % OUTPUTS % D [double] mA*(nC*nB) or mA*(nB*nB) matrix. % % ALGORITHM % none. % % SPECIAL REQUIREMENTS % none. % Copyright (C) 1996-2008 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 . % Chek number of inputs and outputs. if nargin>3 | nargin<2 error('Two or Three input arguments required!') end if nargout>1 error('Too many output arguments!') end % Get & check dimensions. Initialization of the output matrix. [mA,nA] = size(A); [mB,nB] = size(B); if nargin == 3 [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 == 3 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 == 3 D = A * kron(B,C); else D = A * kron(B,B); end end