Superlinear/Quadratic One–step Smoothing Newton Method forP0–NCP
✍ Scribed by Li Ping Zhang; Ji Ye Han; Zheng Hai Huang
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2004
- Tongue
- English
- Weight
- 190 KB
- Volume
- 21
- Category
- Article
- ISSN
- 1439-7617
No coin nor oath required. For personal study only.
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The nonlinear complementarity problem (denoted by NCP(F)) can be reformulated as the solution of a nonsmooth system of equations. By introducing a new smoothing NCP-function, the problem is approximated by a family of parameterized smooth equations. A one-step smoothing Newton method is proposed for
In this paper, we present a new one-step smoothing Newton method proposed for solving the non-linear complementarity problem with P 0 -function based on a new smoothing NCP-function. We adopt a variant merit function. Our algorithm needs only to solve one linear system of equations and perform one l