A penalty method for a mixed nonlinear complementarity problem
type: Item
instance of: scholarly article
title: A penalty method for a mixed nonlinear complementarity problem
zbMATH Open document ID: 1233.65040
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2011-12-08T00:00:00Z
review text: The authors propose a power penalty method for a fixed nonlinear complementarity problem (MNCP) and under some reasonable conditions they show that the solution to the penalty equation converges to that of the MNCP exponentially as the penalty parameter approaches infinity. Also they develop some numerical methods for mixed complementarity problems; the numerical results confirm their theoretical findings. Numerical mathematicians concerned with nonlinear complementarity problem will find the paper to be very worthwhile in their research. The paper offers an opportunity to attain substantial competence in the topic of research.
reviewed by: Akrur Behera
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 65K15
Mathematics Subject Classification ID: 90C33
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 5987792
zbMATH Keywords: mixed nonlinear complementarity problem
zbMATH Keywords: variational inequalities
zbMATH Keywords: power penalty method
zbMATH Keywords: numerical results
zbMATH Keywords: convergence
zbMATH Keywords: shape-preserving interpolation
author: Chongchao Huang
author: Song Wang
MaRDI profile type: Publication
full work available at URL: j.na.2011.08.061
OpenAlex ID: W2009758399
Wikidata QID: Q59416168
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DOI: 10.1016/J.NA.2011.08.061
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description: scientific article; zbMATH DE number 5987792