funRosenbrockM

PURPOSE ^

% Modified Rosenbrock function

SYNOPSIS ^

function [p,dp] = funRosenbrockM(xx)

DESCRIPTION ^

% Modified Rosenbrock function
 L. LAURENT -- 14/02/2017 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 %% Modified Rosenbrock function
0002 % L. LAURENT -- 14/02/2017 -- 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(-1,-1)=0
0025 %
0026 %Design space -2<xi<2
0027 
0028 
0029 function [p,dp] = funRosenbrockM(xx)
0030 
0031 %constants
0032 a=74;
0033 b=100;
0034 c=1;
0035 d=400;
0036 e=0.1;
0037 
0038 %evaluation and derivatives
0039 pa=(xx+c).^2./e;
0040 calA=d*exp(-sum(pa,3));
0041 
0042 %
0043 p=a+b*(xx(:,:,2)-xx(:,:,1).^2).^2+(c-xx(:,:,1)).^2-calA;
0044 
0045 if nargout==2
0046     %
0047     dp=zeros(size(xx));
0048     dp(:,:,1)=-4*b*xx(:,:,1).*(xx(:,:,2)-xx(:,:,1).^2)...
0049         -2*(c-xx(:,:,1))+...
0050         2/e*(xx(:,:,1)+c).*calA;
0051     dp(:,:,2)=2*b*(xx(:,:,2)-xx(:,:,1).^2)...
0052         +2/e*(xx(:,:,2)+c).*calA;
0053 end
0054 end

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