TENSORPROD_TTEMPS Tensor-times-Matrix product.
A = TENSORPROD_TTEMPS(U, A, MODE) performs the mode-MODE product between the
tensor U and matrix A. Higher dimensions than 3 are not supported.
A = TENSORPROD_TTEMPS(U, A, MODE, TRUE) multiplies with A^{-1} instead of A.
Renamed from tensorprod to tensorprod on April 20, 2022 to accomodate the new
Matlab built-in function tensorprod in R2022a.
See also MATRICIZE, TENSORIZE, UNFOLD.0001 function res = tensorprod_ttemps( U, A, mode, apply_inv ) 0002 %TENSORPROD_TTEMPS Tensor-times-Matrix product. 0003 % A = TENSORPROD_TTEMPS(U, A, MODE) performs the mode-MODE product between the 0004 % tensor U and matrix A. Higher dimensions than 3 are not supported. 0005 % 0006 % A = TENSORPROD_TTEMPS(U, A, MODE, TRUE) multiplies with A^{-1} instead of A. 0007 % 0008 % Renamed from tensorprod to tensorprod on April 20, 2022 to accomodate the new 0009 % Matlab built-in function tensorprod in R2022a. 0010 % 0011 % See also MATRICIZE, TENSORIZE, UNFOLD. 0012 0013 % TTeMPS Toolbox. 0014 % Michael Steinlechner, 2013-2016 0015 % Questions and contact: michael.steinlechner@epfl.ch 0016 % BSD 2-clause license, see LICENSE.txt 0017 0018 if nargin==3 0019 apply_inv = false; 0020 end 0021 0022 d = size(U); 0023 % pad with 1 for the last dim (annoying) 0024 if length(d) == 2 0025 d = [d, 1]; 0026 end 0027 d(mode) = size(A,1); 0028 0029 if apply_inv 0030 res = A \ matricize( U, mode ); 0031 res = tensorize( res, mode, d ); 0032 else 0033 res = A * matricize( U, mode ); 0034 res = tensorize( res, mode, d ); 0035 end 0036 0037 end