Title
A modified LM algorithm for tensor complementarity problems over the circular cone
Abstract
The tensor complementarity problem over circular cone (CCTCP for short) is studied, which is a specially structured nonlinear complementarity problem. Useful properties of the circular cone help to reformulate equivalently CCTCP as an implicit fixed-point equation. Based on the smoothing functions, we reformulate the obtained fixed-point equation as a family of parameterized smoothing equations. Moreover, we propose a modified Levenberg–Marquardt (LM) algorithm to solve the problem iteratively and show that the sequence generated by the new algorithm converges to a solution quadratically under suitable conditions. Preliminary numerical results demonstrate that the proposed algorithm is effective.
Year
DOI
Venue
2021
10.1016/j.cam.2021.113689
Journal of Computational and Applied Mathematics
Keywords
DocType
Volume
90C33,65H10
Journal
398
ISSN
Citations 
PageRank 
0377-0427
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Yi-Fen Ke100.34
Changfeng Ma219729.63
Huai Zhang365.24