funVenterSobiezcczanskiSobieski

PURPOSE ^

% Venter-Sobiezcczanski-Sobieski function

SYNOPSIS ^

function [p,dp] = funVenterSobiezcczanskiSobieski(xx)

DESCRIPTION ^

% Venter-Sobiezcczanski-Sobieski function
 L. LAURENT -- 27/02/2017 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 %% Venter-Sobiezcczanski-Sobieski function
0002 % L. LAURENT -- 27/02/2017 -- 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)=-400
0025 %
0026 %Design space -50<xi<50
0027 
0028 function [p,dp] = funVenterSobiezcczanskiSobieski(xx)
0029 
0030 %constants
0031 a=100;
0032 c=30;
0033 
0034 %evaluation and derivatives
0035 %
0036 cx=cos(xx);
0037 ccx=cos(xx.^2./c);
0038 %
0039 pA=xx.^2-a*cx.^2-a*ccx;
0040 %
0041 p=sum(pA,3);
0042 
0043 if nargout==2
0044     %
0045     sx=sin(xx);
0046     scx=sin(xx.^2./c);
0047     %
0048     dp=2*xx+2*a*cx.*sx+2*a/c*xx.*scx;
0049 end
0050 end
0051

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