Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
Volume 53, rmmber 1 CHEMICAL PHYSICS LETTERS 1 January 1978 AN UPPER BOUND FOR THE ENTROPY
 

Summary: Volume 53, rmmber 1 CHEMICAL PHYSICS LETTERS 1 January 1978
AN UPPER BOUND FOR THE ENTROPY
AND ITS APPLICATIONS TO THE MAXIMAL ENTROPY PROBLEM*
Y. ALHASSID, N. ACMON and R.D. LEVINE
Department of PtzJF.&alChemistry_, The Hebrew University, JentsaIenz,Israel
Received 31 August 1977
A variational principle where the Lagrange multipliers of a trial distribution are used as variational parameters is discussed
as an efficient. practical route to the determination of the distribution of maximal entropy.
1. Introduction
The determination of a probability distribution of
maximal entropy is of interest in many areas of physics
and chemistry [ 141. The required maximum is typi-
cally subject to stibsidiary conditions ("constraints")
on the distribution. The solution of the constrained
maximum problem is traditionally formulated using
the Lagrange multipiiers procedure [ 1,2.4]. One is
then faced with the need tr, solve implicit, non-linear,
equations in order to determine the numerical value
of the Lagrange multipliers. Whenever more than two
constraints need be imposed, the numerical problem

  

Source: Agmon, Noam - Institute of Chemistry, Hebrew University of Jerusalem

 

Collections: Chemistry