funTrid

PURPOSE ^

% Trid function

SYNOPSIS ^

function [p,dp] = funTrid(xx)

DESCRIPTION ^

% Trid function
 L. LAURENT -- 23/02/2017 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 %% Trid function
0002 % L. LAURENT -- 23/02/2017 -- 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(6,10,12,12,10,6)=-50
0025 %
0026 %Design space -20<xi<20
0027 
0028 
0029 function [p,dp] = funTrid(xx)
0030 
0031 %evaluation and derivatives
0032 pa=sum((xx-1).^2,3);
0033 pb=sum(xx(:,:,2:end).*xx(:,:,1:end-1),3);
0034 %
0035 p=pa-pb;
0036 
0037 
0038 if nargout==2
0039     %
0040     dp=zeros(size(xx)); 
0041     %
0042     dp(:,:,1)=2*(xx(:,:,1)-1)-xx(:,:,2);
0043     dp(:,:,end)=2*(xx(:,:,end)-1)-xx(:,:,end-1);
0044     dp(:,:,2:end-1)=2*(xx(:,:,2:end-1)-1)-xx(:,:,3:end)-xx(:,:,1:end-2);
0045 end
0046 end

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