% Schwefel 25 function L. LAURENT -- 28/04/2017 -- luc.laurent@lecnam.net
0001 %% Schwefel 25 function 0002 %L. LAURENT -- 28/04/2017 -- luc.laurent@lecnam.net 0003 0004 % sources available here: 0005 % https://bitbucket.org/luclaurent/optigtest/ 0006 % https://github.com/luclaurent/optigtest/ 0007 % 0008 0009 % optiGTest - set of testing functions A toolbox to easy manipulate functions. 0010 % Copyright (C) 2017 Luc LAURENT <luc.laurent@lecnam.net> 0011 % 0012 % This program is free software: you can redistribute it and/or modify 0013 % it under the terms of the GNU General Public License as published by 0014 % the Free Software Foundation, either version 3 of the License, or 0015 % (at your option) any later version. 0016 % 0017 % This program is distributed in the hope that it will be useful, 0018 % but WITHOUT ANY WARRANTY; without even the implied warranty of 0019 % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 0020 % GNU General Public License for more details. 0021 % 0022 % You should have received a copy of the GNU General Public License 0023 % along with this program. If not, see <http://www.gnu.org/licenses/>. 0024 0025 %numerous local minima 0026 %1 global minimum : x=(1,1,...,1) >> f(x)=0 0027 % 0028 %Design space: 0<xi<10 0029 0030 function [p,dp]=funSchwefel25(xx) 0031 0032 %constants 0033 a=1; 0034 0035 %evaluation and derivatives 0036 pa=xx-a; 0037 pb=bsxfun(@minus,xx(:,:,1),xx.^2); 0038 % 0039 p=sum(pa.^2+pb.^2,3); 0040 % 0041 if nargout==2 0042 % 0043 dp=2*pa-4*xx.*pb; 0044 % 0045 dp(:,:,1)=dp(:,:,1)+sum(2*pb,3); 0046 end 0047 0048 end