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iCAPs/packages/gspbox/utils/gsp_decompose_asymmatrix.m
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gsp_decompose_asymmatrix.m
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function [Wsym,Wasym] = gsp_decompose_asymmatrix(W)
%GSP_DECOMPOSE_ASYMMATRIX Decompose a matrix in symmetric and asymmetric part
% Usage: [Wsym,Wasym] = gsp_decompose_asymmatrix(W)
%
% Input parameters:
% W : Asymmetric matrix
% Output parameters:
% Wsym : Symmetric part of W
% Wasym : Asymmetric part of W
%
% Decompose a matrix in symmetric and asymmetric part
%
%
% Url: http://lts2research.epfl.ch/gsp/doc/utils/gsp_decompose_asymmatrix.php
% Copyright (C) 2013-2016 Nathanael Perraudin, Johan Paratte, David I Shuman.
% This file is part of GSPbox version 0.7.0
%
% This program 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.
%
% This program 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 this program. If not, see <http://www.gnu.org/licenses/>.
% If you use this toolbox please kindly cite
% N. Perraudin, J. Paratte, D. Shuman, V. Kalofolias, P. Vandergheynst,
% and D. K. Hammond. GSPBOX: A toolbox for signal processing on graphs.
% ArXiv e-prints, Aug. 2014.
% http://arxiv.org/abs/1408.5781
% Author: Francesco Grassi
% Date : July 2016
Wasym = W-W.';
Wasym(Wasym<0)=0;
Wsym = W-Wasym;
Wsym = (Wsym+Wsym')/2;
end
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