% Schwefel 4 function L. LAURENT -- 19/02/2017 -- luc.laurent@lecnam.net
0001 %% Schwefel 4 function 0002 % L. LAURENT -- 19/02/2017 -- luc.laurent@lecnam.net 0003 0004 % sources available here: 0005 % https://bitbucket.org/luclaurent/optigtest/ 0006 % https://github.com/luclaurent/optigtest/ 0007 0008 % optiGTest - set of testing functions A toolbox to easy manipulate functions. 0009 % Copyright (C) 2017 Luc LAURENT <luc.laurent@lecnam.net> 0010 % 0011 % This program is free software: you can redistribute it and/or modify 0012 % it under the terms of the GNU General Public License as published by 0013 % the Free Software Foundation, either version 3 of the License, or 0014 % (at your option) any later version. 0015 % 0016 % This program is distributed in the hope that it will be useful, 0017 % but WITHOUT ANY WARRANTY; without even the implied warranty of 0018 % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 0019 % GNU General Public License for more details. 0020 % 0021 % You should have received a copy of the GNU General Public License 0022 % along with this program. If not, see <http://www.gnu.org/licenses/>. 0023 0024 %1 minimum global: f(0,...,0)=0 0025 % 0026 %Design space 0<xi<10 0027 0028 0029 function [p,dp] = funSchwefel04(xx) 0030 0031 %constants 0032 a=1; 0033 0034 %evaluation and derivatives 0035 x1=xx(:,:,1); 0036 pa=xx-a; 0037 pb=x1-xx.^2; 0038 % 0039 p=sum(pa.^2+pb.^2,3); 0040 0041 if nargout==2 0042 % 0043 dp=zeros(size(xx)); 0044 % 0045 dp(:,:,1)=2*(x1-a) ... 0046 + 2*(1-2*x1).*(x1-x1.^2) ... 0047 + 2*sum(pb(:,:,2:end),3); 0048 dp(:,:,2:end)=2*pa(:,:,2:end) ... 0049 - 4*xx(:,:,2:end).*pb(:,:,2:end); 0050 end 0051 end