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. Ferreira | 1 | 17 | 1.37 |
M. L. N. Gonçalves | 2 | 45 | 5.93 |