% Cosine Mixture function L. LAURENT -- 04/11/2016 -- luc.laurent@lecnam.net
0001 %% Cosine Mixture 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 %numerous local minima 0026 %1 global minimum : x=(0,0,...,0) >> f(x)=0 0027 % 0028 %design space -1<xi<1 0029 0030 function [p,dp]=funCosineMixture(xx) 0031 0032 %constants 0033 a=0.1; 0034 b=5*pi; 0035 0036 %evaluation and derivatives 0037 pa=cos(b*xx); 0038 pb=xx.^2; 0039 p=a*sum(pa,3)+sum(pb,3); 0040 if nargout==2 0041 dp=-a*b*sin(b*xx)+2*xx; 0042 end 0043 end