funMishra02

PURPOSE ^

% Mishra 2 function

SYNOPSIS ^

function [p,dp]=funMishra02(xx)

DESCRIPTION ^

% Mishra 2 function
L. LAURENT -- 17/11/2016 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 %% Mishra 2 function
0002 %L. LAURENT -- 17/11/2016 -- 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 %global minimum : f(x)=2 for x=?
0026 %
0027 %Design space: 0<xi<1
0028 
0029 
0030 function [p,dp]=funMishra02(xx)
0031 %constants
0032 a=1;
0033 b=0.5;
0034 
0035 %evaluation and derivatives
0036 dim=size(xx,3);
0037 xn=dim-b*sum(xx,3);
0038 %
0039 p=(a+xn).^xn;
0040 
0041 if nargout==2
0042     dp=bsxfun(@times,(log(a+xn)+xn./(a+xn)).*p,-b*ones(1,1,dim));
0043 end
0044 end

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