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Zbl 1204.65069
Rui, Shao-Ping; Xu, Cheng-Xian
A smoothing inexact Newton method for nonlinear complementarity problems. (English)
[J] J. Comput. Appl. Math. 233, No. 9, 2332-2338 (2010). ISSN 0377-0427

The authors propose a new inexact Newton algorithm for solving nonlinear complementarity problems under the framework of smoothing Newton method. Also they establish the global and local superlinear convergence under some assumptions. Numerical results strengthen the algorithm. The paper contains new techniques which reinvigorate the topic of research. The paper will be a valuable reference to the researchers of the field.
[Akrur Behera (Rourkela)]

MSC 2000:: *65K05 Mathematical programming (numerical methods)
90C33 Complementarity problems
90C53 Methods of quasi-Newton type

Keywords: nonlinear complementarity problems; inexact Newton methods; global convergence; local superliner convergence; Lipschitz continuous; numerical results; algorithm

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