Name
Abstract | ||
|---|---|---|
We study the semilocal convergence of Newton’s method in Banach spaces under a modification of the classic conditions of Kantorovich, which leads to a generalization of Kantorovich’s theory. We illustrate this study with two Hammerstein integral equations of the second kind, where the classic conditions of Kantorovich cannot be applied, but our modification of them can. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.mcm.2012.07.015 | Mathematical and Computer Modelling |
Keywords | Field | DocType |
Newton’s method,Kantorovich’s technique,Semilocal convergence,Majorizing sequence,A priori error estimates,Hammerstein integral equation | Convergence (routing),Mathematical optimization,Mathematical analysis,Banach space,Integral equation,Mathematics,Newton's method | Journal |
Volume | Issue | ISSN |
57 | 3 | 0895-7177 |
Citations | PageRank | References |
5 | 0.76 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| J. A. Ezquerro | 1 | 92 | 13.64 |
| Diego González-Aguilera | 2 | 81 | 19.41 |
| M. A. Hernández | 3 | 5 | 0.76 |