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view main/optim/inst/nrm.m @ 9930:d30cfca46e8a octave-forge
optim: upgrade license to GPLv3+ and mention on DESCRIPTION the other package licenses
author | carandraug |
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date | Fri, 30 Mar 2012 15:14:48 +0000 |
parents | 24d6a5cdedfe |
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## Copyright (C) 2000 Ben Sapp <bsapp@lanl.gov> ## Copyright (C) 2002 Paul Kienzle <pkienzle@gmail.com> ## ## This program is free software; you can redistribute it and/or modify it under ## the terms of the GNU General Public License as published by the Free Software ## Foundation; either version 3 of the License, or (at your option) any later ## version. ## ## This program is distributed in the hope that it will be useful, but WITHOUT ## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or ## FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more ## details. ## ## You should have received a copy of the GNU General Public License along with ## this program; if not, see <http://www.gnu.org/licenses/>. ## -*- texinfo -*- ## @deftypefn {Function File} {@var{xmin} =} nrm(@var{f},@var{x0}) ## Using @var{x0} as a starting point find a minimum of the scalar ## function @var{f}. The Newton-Raphson method is used. ## @end deftypefn ## Reference: David G Luenberger's Linear and Nonlinear Programming function x = nrm(f,x,varargin) velocity = 1; acceleration = 1; h = 0.01; while(abs(velocity) > 0.0001) fx = feval(f,x,varargin{:}); fxph = feval(f,x+h,varargin{:}); fxmh = feval(f,x-h,varargin{:}); velocity = (fxph - fxmh)/(2*h); acceleration = (fxph - 2*fx + fxmh)/(h^2); x = x - velocity/abs(acceleration); endwhile endfunction