% Brent's function 2 L. LAURENT -- 13/12/2010 -- luc.laurent@lecnam.net
0001 %% Brent's function 2 0002 %L. LAURENT -- 13/12/2010 -- 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 % global minimum : 0026 %f(x1,x2)=0 for (x1,x2)=(-10,-10) 0027 % 0028 %Design space: -10<x1,x2<10 0029 0030 0031 0032 function [p,dp]=funBrent(xx) 0033 0034 %constants 0035 a=10; 0036 0037 %responses and derivatives 0038 xxx=xx(:,:,1); 0039 yyy=xx(:,:,2); 0040 0041 p = (xxx+a).^2+(yyy+10).^2+exp(-xxx.^2-yyy.^2); 0042 0043 if nargout==2 0044 dp(:,:,1)=2*(xxx+a)-2.*xxx.*exp(-xxx.^2-yyy.^2); 0045 dp(:,:,2)=2*(yyy+a)-2.*yyy.*exp(-xxx.^2-yyy.^2); 0046 end 0047 end