% Trid function L. LAURENT -- 23/02/2017 -- luc.laurent@lecnam.net
0001 %% Trid function 0002 % L. LAURENT -- 23/02/2017 -- 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(6,10,12,12,10,6)=-50 0025 % 0026 %Design space -20<xi<20 0027 0028 0029 function [p,dp] = funTrid(xx) 0030 0031 %evaluation and derivatives 0032 pa=sum((xx-1).^2,3); 0033 pb=sum(xx(:,:,2:end).*xx(:,:,1:end-1),3); 0034 % 0035 p=pa-pb; 0036 0037 0038 if nargout==2 0039 % 0040 dp=zeros(size(xx)); 0041 % 0042 dp(:,:,1)=2*(xx(:,:,1)-1)-xx(:,:,2); 0043 dp(:,:,end)=2*(xx(:,:,end)-1)-xx(:,:,end-1); 0044 dp(:,:,2:end-1)=2*(xx(:,:,2:end-1)-1)-xx(:,:,3:end)-xx(:,:,1:end-2); 0045 end 0046 end