Name
Title | ||
|---|---|---|
A globally convergent derivative-free method for solving large-scale nonlinear monotone equations |
Abstract | ||
|---|---|---|
In this paper, we propose two derivative-free iterative methods for solving nonlinear monotone equations, which combines two modified HS methods with the projection method in Solodov and Svaiter (1998) [5]. The proposed methods can be applied to solve nonsmooth equations. They are suitable to large-scale equations due to their lower storage requirement. Under mild conditions, we show that the proposed methods are globally convergent. The reported numerical results show that the methods are efficient. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.cam.2010.01.001 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
lower storage requirement,nonlinear monotone equation,mild condition,large-scale equation,convergent derivative-free method,nonsmooth equation,projection method,derivative-free iterative method,numerical result,modified hs method,large-scale nonlinear monotone equation,iteration method | Mathematical optimization,Nonlinear system,Linear system,Mathematical analysis,Iterative method,Projection method,Local convergence,Numerical analysis,Monotone polygon,Mathematics,Numerical linear algebra | Journal |
Volume | Issue | ISSN |
234 | 3 | 0377-0427 |
Citations | PageRank | References |
8 | 0.60 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Qin-Rong Yan | 1 | 8 | 0.60 |
| Xiao-Zhen Peng | 2 | 8 | 0.60 |
| Donghui Li | 3 | 380 | 32.40 |