funBiggsExp3

PURPOSE ^

% Biggs EXP 3's function

SYNOPSIS ^

function [p,dp]=funBiggsExp3(xx)

DESCRIPTION ^

% Biggs EXP 3's function
L. LAURENT -- 31/10/2016 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 %% Biggs EXP 3's function
0002 %L. LAURENT -- 31/10/2016 -- 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 %one local minimum
0026 %1 global minimum : x=(1, 10, 5) >> f(x)=0
0027 %
0028 %design space 0<xi<20
0029 
0030 
0031 
0032 function [p,dp]=funBiggsExp3(xx)
0033 
0034 %constants
0035 a=5;
0036 b=10;
0037 nbt=10;
0038 t=0.1.*(1:10);
0039 y=exp(-t)-a*exp(-b*t);
0040 
0041 %responses and derivatives
0042 xxx=xx(:,:,1);
0043 yyy=xx(:,:,2);
0044 zzz=xx(:,:,3);
0045 
0046 p=zeros(size(xxx));
0047 for it=1:nbt
0048     p=p+(exp(-t(it).*xxx)-zzz.*exp(-t(it).*yyy)-y(it)).^2;
0049 end
0050 if nargout==2
0051     dp=zeros(size(xxx,1),size(xxx,2),3);
0052     for it=1:nbt
0053         dp(:,:,1)=dp(:,:,1)-2*t(it)*exp(-t(it)*xxx).*(exp(-t(it).*xxx)-zzz.*exp(-t(it).*yyy)-y(it));
0054         dp(:,:,2)=dp(:,:,2)+2*zzz.*t(it).*exp(-t(it)*yyy).*(exp(-t(it).*xxx)-zzz.*exp(-t(it).*yyy)-y(it));
0055         dp(:,:,3)=dp(:,:,3)-2.*exp(-t(it)*yyy).*(exp(-t(it).*xxx)-zzz.*exp(-t(it).*yyy)-y(it));
0056     end
0057 end
0058 end

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