Abstract

In this paper, a modulus-based Shamanskii-Like Levenberg-Marquardt method is proposed for solving nonlinear complementarity problems (NCPs). First, the NCP is reformulated in the form of an equivalent non-smooth system of equations. Then, a non-smooth Shamanskii-Like Levenberg-Marquardt method using a non-monotone r-order Armijo line search is developed by generalizing a smooth Levenberg-Marquardt method to solve the resulting system. Global convergence of the proposed method is achieved under some suitable assumptions. Numerical experiments verify the feasibility and efficiency of the proposed method.

Details

Title
A Modulus-Based Shamanskii-Like Levenberg-Marquardt Method for Solving Nonlinear Complementary Problems
Author
Ding, Defeng 1 ; Fang, Minglei 2 ; Wang, Min 3 ; Sheng, Yuting 4 

 postgraduate student at the School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan, 232001, P. R. China (e-mail: [email protected]
 assistant professor at the School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan, 232001, P. R. China (corresponding author to provide e-mail: [email protected]
 postgraduate student at the School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan, 232001, P. R. China (e-mail: [email protected]
 postgraduate student at the School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan, 232001, P. R. China (e-mail: [email protected]
Pages
411-416
Publication year
2024
Publication date
Mar 2024
Publisher
International Association of Engineers
ISSN
1992-9978
e-ISSN
1992-9986
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2935803915
Copyright
© 2024. This work is published under https://creativecommons.org/licenses/by-nc-nd/4.0/ (the“License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.