Title
Local convergence analysis of inexact Newton-like methods under majorant condition
Abstract
We present a local convergence analysis of inexact Newton-like methods for solving nonlinear equations under majorant conditions. This analysis provides an estimate of the convergence radius and a clear relationship between the majorant function, which relaxes the Lipschitz continuity of the derivative, and the nonlinear operator under consideration. It also allow us to obtain some important special cases.
Year
DOI
Venue
2011
10.1007/s10589-009-9249-2
Comp. Opt. and Appl.
Keywords
Field
DocType
Inexact Newton method,Majorant condition,Local convergence
Convergence (routing),Mathematical optimization,Nonlinear system,Mathematical analysis,Nonlinear operators,Lipschitz continuity,Local convergence,Mathematics
Journal
Volume
Issue
ISSN
48
1
0926-6003
Citations 
PageRank 
References 
11
0.87
14
Authors
2
Name
Order
Citations
PageRank
O. P. Ferreira1171.37
M. L. N. Gonçalves2455.93