Abstract and Applied Analysis

Generalized Newton Method for a Kind of Complementarity Problem

Shou-qiang Du

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Abstract

A generalized Newton method for the solution of a kind of complementarity problem is given. The method is based on a nonsmooth equations reformulation of the problem by F-B function and on a generalized Newton method. The merit function used is a differentiable function. The global convergence and superlinear local convergence results are also given under suitable assumptions. Finally, some numerical results and discussions are presented.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 745981, 5 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412278789

Digital Object Identifier
doi:10.1155/2014/745981

Mathematical Reviews number (MathSciNet)
MR3206818

Zentralblatt MATH identifier
07023003

Citation

Du, Shou-qiang. Generalized Newton Method for a Kind of Complementarity Problem. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 745981, 5 pages. doi:10.1155/2014/745981. https://projecteuclid.org/euclid.aaa/1412278789


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