dynare/matlab/kronecker/A_times_B_kronecker_C.m

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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.
%
%
% part of DYNARE, copyright Dynare Team (1996-2008)
% Gnu Public License.
% 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 = 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