funQuintic

PURPOSE ^

% Quartic function

SYNOPSIS ^

function [p,dp]=funQuintic(xx)

DESCRIPTION ^

% Quartic function
L. LAURENT -- 19/11/2016 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 %% Quartic function
0002 %L. LAURENT -- 19/11/2016 -- 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)=0 for xi=(1 or 2)
0026 %
0027 %Design space: -10<xi<10
0028 
0029 
0030 function [p,dp]=funQuintic(xx)
0031 
0032 %constants
0033 a=3;
0034 b=4;
0035 c=2;
0036 d=10;
0037 e=4;
0038 
0039 %evaluation and derivatives
0040 pa=xx.^5-a*xx.^4+b*xx.^3+c*xx.^2-d*xx-e;
0041 %
0042 p=sum(abs(pa),3);
0043 
0044 if nargout==2    
0045     dp=(5*xx.^4-4*a*xx.^3+3*b*xx.^2+2*c*xx-d).*sign(pa);
0046 end
0047 end

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