% Mishra 2 function L. LAURENT -- 17/11/2016 -- luc.laurent@lecnam.net
0001 %% Mishra 2 function 0002 %L. LAURENT -- 17/11/2016 -- 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 %global minimum : f(x)=2 for x=? 0026 % 0027 %Design space: 0<xi<1 0028 0029 0030 function [p,dp]=funMishra02(xx) 0031 %constants 0032 a=1; 0033 b=0.5; 0034 0035 %evaluation and derivatives 0036 dim=size(xx,3); 0037 xn=dim-b*sum(xx,3); 0038 % 0039 p=(a+xn).^xn; 0040 0041 if nargout==2 0042 dp=bsxfun(@times,(log(a+xn)+xn./(a+xn)).*p,-b*ones(1,1,dim)); 0043 end 0044 end