% Wolfe function L. LAURENT -- 28/02/2017 -- luc.laurent@lecnam.net
0001 %% Wolfe function 0002 % L. LAURENT -- 28/02/2017 -- 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)=0 0025 % 0026 %Design space 0<xi<2 0027 0028 function [p,dp] = funWolfe(xx) 0029 0030 %constants 0031 a=14/3; 0032 b=0.75; 0033 0034 %evaluation and derivatives 0035 x=xx(:,:,1); 0036 y=xx(:,:,2); 0037 z=xx(:,:,3); 0038 % 0039 p=a*(x.^2+y.^2-x.*y).^b+z; 0040 0041 if nargout==2 0042 dp=ones(size(xx)); 0043 pb=(x.^2+y.^2-x.*y).^(b-1); 0044 % 0045 dp(:,:,1)=a*b*(2*x-y).*pb; 0046 dp(:,:,2)=a*b*(2*y-x).*pb; 0047 end 0048 end 0049