Title
A new backtracking inexact BFGS method for symmetric nonlinear equations
Abstract
A BFGS method, in association with a new backtracking line search technique, is presented for solving symmetric nonlinear equations. The global and superlinear convergences of the given method are established under mild conditions. Preliminary numerical results show that the proposed method is better than the normal technique for the given problems.
Year
DOI
Venue
2008
10.1016/j.camwa.2006.12.081
Computers & Mathematics with Applications
Keywords
Field
DocType
global convergence,symmetric nonlinear equations,normal technique,symmetric nonlinear equation,bfgs method,line search,new backtracking line search,new backtracking inexact bfgs,mild condition,superlinear convergence,preliminary numerical result,nonlinear equation
Superlinear convergence,Mathematical optimization,Nonlinear system,Backtracking line search,Line search,Backtracking,Broyden–Fletcher–Goldfarb–Shanno algorithm,Mathematics
Journal
Volume
Issue
ISSN
55
1
Computers and Mathematics with Applications
Citations 
PageRank 
References 
14
0.88
8
Authors
2
Name
Order
Citations
PageRank
Gonglin Yuan121513.71
Xiwen Lu218221.03