A New Smoothing Equations Approach to the Nonlinear Complementarity Problems

A New Smoothing Equations Approach to the Nonlinear Complementarity Problems

Year:    2003

Author:    Chang-Feng Ma, Pu-Yan Nie, Guo-Ping Liang

Journal of Computational Mathematics, Vol. 21 (2003), Iss. 6 : pp. 747–758

Abstract

The nonlinear complementarity problem can be reformulated as a nonsmooth equation. In this paper we propose a new smoothing Newton algorithm for the solution of the nonlinear complementarity problem by construction a new smoothing approximation function. Global and local superlinear convergence results of the algorithm are obtained under suitable conditions. Numerical experiments confirm the good theoretical properties of the algorithm.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2003-JCM-10232

Journal of Computational Mathematics, Vol. 21 (2003), Iss. 6 : pp. 747–758

Published online:    2003-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Nonlinear complementarity problem Smoothing Newton method Global convergence Superlinear convergence.

Author Details

Chang-Feng Ma

Pu-Yan Nie

Guo-Ping Liang