funWolfe

PURPOSE ^

% Wolfe function

SYNOPSIS ^

function [p,dp] = funWolfe(xx)

DESCRIPTION ^

% Wolfe function
 L. LAURENT -- 28/02/2017 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

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

Generated on Tue 28-May-2019 16:00:34 by m2html © 2005