umaxbert.m

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function y=umaxbert(u);%UMAXBERT Determination of the maximum value of u for Bertrand distribution.%	Y=UMAXBERT(u) is the function Y(u)=(H(u)+u/2)/(H(u)-u/2)-fmax/fmin. %	Doing UMAX = fzero('umaxbert',0); gives the maximum value for U in the%	computation of the Bertrand distribution. For this distribution, %	 	 H(u) = (u/2)*coth(u/2).%%	U     : real vector%	Y     : value of the function (H(u)+u/2)/(H(u)-u/2)-fmax/fmin.%	P. Goncalves, October 95 - O. Lemoine, July 1996. %	Copyright (c) 1995 Rice University - CNRS (France).%%  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 2 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, write to the Free Software%  Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA  02110-1301  USAglobal ratio_fy = exp(u)-ratio_f;

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