% Chen V's function L. LAURENT -- 04/11/2016 -- luc.laurent@lecnam.net
0001 %% Chen V's function 0002 %L. LAURENT -- 04/11/2016 -- 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 % 0025 %1 global minimum 0026 %f(x1,x2)=-2000 for (x1,x2)=(7/18,13/18) 0027 % 0028 %Design space: -500<x1,x2<500 0029 0030 0031 0032 0033 function [p,dp]=funChenV(xx) 0034 0035 %constants 0036 a=1e-3; 0037 b=0.4; 0038 c=0.1; 0039 d=2; 0040 e=1.5; 0041 0042 %variables 0043 xxx=xx(:,:,1); 0044 yyy=xx(:,:,2); 0045 0046 %evaluations and derivatives 0047 pa=xxx-b*yyy-c; 0048 da=a^2+pa.^2; 0049 pb=d*xxx+yyy-e; 0050 db=a^2+pb.^2; 0051 p=-a./da-a./db; 0052 0053 if nargout==2 0054 dp(:,:,1)=2*a*pa./da.^2 ... 0055 +2*a*d*pb./db.^2; 0056 dp(:,:,2)=-2*a*b*pa./da.^2 ... 0057 +2*a*pb./db.^2; 0058 end 0059 end