Name
Abstract | ||
|---|---|---|
In this paper, we reformulate the variational inequality problem as an equivalent smooth non-linear equation system by introducing the Chen-Harker-Kanzow-Smale smoothing function. A new smoothing inexact Newton algorithm is proposed to solve the smooth equations. In each iteration, the corresponding linear system is solved approximately. We prove that the proposed algorithm converges globally and superlinearly under mild conditions. Preliminary numerical results indicate that the method is effective. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1080/00207160.2010.500663 | Int. J. Comput. Math. |
Keywords | Field | DocType |
variational inequality problem,mild condition,smooth equation,new smoothing inexact,equivalent smooth non-linear equation,newton algorithm,newton method,corresponding linear system,proposed algorithm,chen-harker-kanzow-smale smoothing function,preliminary numerical result,linear equations,linear system | Superlinear convergence,Mathematical optimization,Linear system,Mathematical analysis,Smoothing,Mathematics,Variational inequality,Newton's method | Journal |
Volume | Issue | ISSN |
88 | 6 | 0020-7160 |
Citations | PageRank | References |
0 | 0.34 | 12 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xiuyun Zheng | 1 | 17 | 5.42 |
| Hongwei Liu | 2 | 78 | 12.29 |