Name
Abstract | ||
|---|---|---|
In this paper, we are concerned with the Shamanskii-like self-adaptive Levenberg–Marquardt methods for nonlinear equations. We consider two choices of Levenberg–Marquardt parameter. One of them is the standard self-adaptive Levenberg–Marquardt parameter, the other is nonmonotone self-adaptive Levenberg–Marquardt parameter by using the nonmonotone technique of Grippo, Lampariello and Lucidi. Under the error bound condition which is weaker than nonsingularity, we show that the Shamanskii-like self-adaptive Levenberg–Marquardt methods converge with Q-order (m+1). Numerical experiments show the new algorithms are efficient and promising. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1016/j.camwa.2018.09.039 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
Nonlinear equations,Levenberg–Marquardt method,Self-adaptive strategy,Local error bound condition | Applied mathematics,Mathematical optimization,Nonlinear system,Self adaptive,Mathematics,Levenberg–Marquardt algorithm | Journal |
Volume | Issue | ISSN |
77 | 2 | 0898-1221 |
Citations | PageRank | References |
0 | 0.34 | 17 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Bao-Hua Huang | 1 | 12 | 5.68 |
| Changfeng Ma | 2 | 100 | 16.25 |