Levenberg-Marquardt Method for the Eigenvalue Complementarity Problem
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-10-30
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
The eigenvalue complementarity problem (EiCP) is a kind of very useful model, which is widely used in the study of many problems in mechanics, engineering, and economics.
The EiCP was shown to be equivalent to a special nonlinear complementarity problem or a mathematical programming problem with complementarity constraints.
The existing methods for solving the EiCP are all nonsmooth methods, including nonsmooth or semismooth Newton type methods.
In this paper, we reformulate the EiCP as a system of continuously differentiable equations and give the Levenberg-Marquardt method to solve them.
Under mild assumptions, the method is proved globally convergent.
Finally, some numerical results and the extensions of the method are also given.
The numerical experiments highlight the efficiency of the method.
American Psychological Association (APA)
Chen, Yuan-yuan& Gao, Yan. 2014. Levenberg-Marquardt Method for the Eigenvalue Complementarity Problem. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1049160
Modern Language Association (MLA)
Chen, Yuan-yuan& Gao, Yan. Levenberg-Marquardt Method for the Eigenvalue Complementarity Problem. The Scientific World Journal No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1049160
American Medical Association (AMA)
Chen, Yuan-yuan& Gao, Yan. Levenberg-Marquardt Method for the Eigenvalue Complementarity Problem. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1049160
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1049160