Title
A regularized smoothing Newton method for solving SOCCPs based on a new smoothing C-function.
Abstract
In this paper, an SOC complementarity function is constructed. Based on this function, a regularized smoothing Newton method is proposed for solving monotone second-order cone complementarity problems (denoted by SOCCPs). The proposed algorithm is proved to be globally and quadratically convergent under mild conditions. Unlike some existing smoothing Newton-type methods, we take the regularization parameter the same as the smoothing parameter μ and treat the parameter μ as independent variables in our algorithm. Some numerical results are reported and indicate that the proposed method is quite effective.
Year
DOI
Venue
2014
10.1016/j.amc.2013.12.116
Applied Mathematics and Computation
Keywords
Field
DocType
Second-order cone complementarity problem,Smoothing method,Regularization,Convergence analysis,Numerical results
Complementarity (molecular biology),Quadratic growth,Mathematical optimization,Mathematical analysis,Smoothing,Regularization (mathematics),Variables,Monotone polygon,Mathematics,Newton's method
Journal
Volume
Issue
ISSN
230
null
0096-3003
Citations 
PageRank 
References 
0
0.34
16
Authors
2
Name
Order
Citations
PageRank
Na Huang1303.22
Changfeng Ma219729.63