A Smoothing Newton Method with a Mixed Line Search for Monotone Weighted Complementarity Problems
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-30
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
In this paper, we present a smoothing Newton method for solving the monotone weighted complementarity problem (WCP).
In each iteration of our method, the iterative direction is achieved by solving a system of linear equations and the iterative step length is achieved by adopting a line search.
A feature of the line search criteria used in this paper is that monotone and nonmonotone line search are mixed used.
The proposed method is new even when the WCP reduces to the standard complementarity problem.
Particularly, the proposed method is proved to possess the global convergence under a weak assumption.
The preliminary experimental results show the effectiveness and robustness of the proposed method for solving the concerned WCP.
American Psychological Association (APA)
Jiang, Xiaoqin& Huang, He. 2020. A Smoothing Newton Method with a Mixed Line Search for Monotone Weighted Complementarity Problems. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1200816
Modern Language Association (MLA)
Jiang, Xiaoqin& Huang, He. A Smoothing Newton Method with a Mixed Line Search for Monotone Weighted Complementarity Problems. Mathematical Problems in Engineering No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1200816
American Medical Association (AMA)
Jiang, Xiaoqin& Huang, He. A Smoothing Newton Method with a Mixed Line Search for Monotone Weighted Complementarity Problems. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1200816
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1200816