Multiplicative algorithms for determining positive solutions of nonlinear equations
type: Item
instance of: scholarly article
title: Multiplicative algorithms for determining positive solutions of nonlinear equations
zbMATH Open document ID: 0861.65045
DOI: 10.1016/0377-0427(95)00030-5
published in: Journal of Computational and Applied Mathematics
publication date: 1996-07-23T00:00:00Z
review text: The paper is concerned with the more specific question of maximizing an entropy function based on physics-based distributions over a polyhedral set in the componentwise positive cone. This is converted to the problem of determining a positive solution of the equations resulting from the application of the Lagrange multiplier technique. The paper contains a convergence proof for the proposed multiplicative algorithm plus results from some numerical experiments.
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 908400
zbMATH Keywords: numerical examples
zbMATH Keywords: entropy function
zbMATH Keywords: positive cone
zbMATH Keywords: positive solution
zbMATH Keywords: convergence
zbMATH Keywords: multiplicative algorithm
author: Yuri S. Popkov
reviewed by: Hermann G. Matthies
MaRDI profile type: Publication
full work available at URL: 0377-0427(95)00030-5
OpenAlex ID: W2003512561
cites work: Q3813612
cites work: Q5514022
cites work: Q3345346
cites work: Q3334824
cites work: Mathematical optimization versus practical performance: A case study based on the maximum entropy criterion in image reconstruction
cites work: Q5638711
cites work: Computational methods in optimization. A unified approach.
Recommended article: Q4847826
Recommended article: Q4860585
Recommended article: An efficient technique to solve nonlinear equations using multiplicative calculus
Recommended article: Effective root-finding methods for nonlinear equations based on multiplicative calculi
Recommended article: Q5245590
Recommended article: Q4840578
Recommended article: SOME ITERATIVE ALGORITHMS FOR POSITIVE DEFINITE SOLUTION TO NONLINEAR MATRIX EQUATIONS
Recommended article: Some algorithms for the solution of a class of nonlinear algebraic equations
Recommended article: Q3217525
Recommended article: On the number of positive solutions of a nonlinear algebraic system
description: scientific article; zbMATH DE number 908400