Name
Abstract | ||
|---|---|---|
The semi-local convergence of a Newton-type method used to solve nonlinear equations in a Banach space is studied. We also give, as two important applications, convergence analyses of two classes of two-point Newton-type methods including a method mentioned in [5] and the midpoint method studied in [1,2,12]. Recently, interest has been shown in such methods [3,4]. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.cam.2010.02.024 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
banach space,majorizing function,nonlinear equation,semi-local convergence,important application,two-point newton-type method,newton-type method,convergence analysis,midpoint method,frechet derivative,lipschitz condition,local convergence | Convergence (routing),Mathematical optimization,Nonlinear system,Mathematical analysis,Fréchet derivative,Banach space,Midpoint method,Lipschitz continuity,Mathematics | Journal |
Volume | Issue | ISSN |
234 | 5 | 0377-0427 |
Citations | PageRank | References |
2 | 0.40 | 2 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jinhai Chen | 1 | 13 | 3.55 |
| Ioannis K. Argyros | 2 | 326 | 77.73 |
| Ravi P. Agarwal | 3 | 522 | 114.94 |