Name
Abstract | ||
|---|---|---|
In this paper, we consider the problem of solving constrained systems of nonlinear equations. We propose an algorithm based on a combination of Newton and conditional gradient methods, and establish its local convergence analysis. Our analysis is set up by using a majorant condition technique, allowing us to prove, in a unified way, convergence results for two large families of nonlinear functions. The first one includes functions whose derivative satisfies a Hölder-like condition, and the second one consists of a substantial subclass of analytic functions. Some preliminary numerical experiments are reported. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1016/j.cam.2016.08.009 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
Constrained nonlinear systems,Newton method,Conditional gradient method,Local convergence | Convergence (routing),Mathematical optimization,Nonlinear system,Analytic function,Frank–Wolfe algorithm,Newton's method in optimization,Nonlinear conjugate gradient method,Local convergence,Mathematics | Journal |
Volume | Issue | ISSN |
311 | C | 0377-0427 |
Citations | PageRank | References |
4 | 0.41 | 9 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| M. L. N. Gonçalves | 1 | 45 | 5.93 |
| Jefferson G. Melo | 2 | 49 | 5.63 |