A Modified Levenberg-Marquardt Method for Nonsmooth Equations with Finitely Many Maximum Functions
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-02-03
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
For solving nonsmooth systems of equations, the Levenberg-Marquardt method and its variants are of particular importance because of their locally fast convergent rates.
Finitely many maximum functions systems are very useful in the study of nonlinear complementarity problems, variational inequality problems, Karush-Kuhn-Tucker systems of nonlinear programming problems, and many problems in mechanics and engineering.
In this paper, we present a modified Levenberg-Marquardt method for nonsmooth equations with finitely many maximum functions.
Under mild assumptions, the present method is shown to be convergent Q-linearly.
Some numerical results comparing the proposed method with classical reformulations indicate that the modified Levenberg-Marquardt algorithm works quite well in practice.
American Psychological Association (APA)
Du, Shou-qiang& Gao, Yan. 2009. A Modified Levenberg-Marquardt Method for Nonsmooth Equations with Finitely Many Maximum Functions. Mathematical Problems in Engineering،Vol. 2008, no. 2008, pp.1-10.
https://search.emarefa.net/detail/BIM-510113
Modern Language Association (MLA)
Du, Shou-qiang& Gao, Yan. A Modified Levenberg-Marquardt Method for Nonsmooth Equations with Finitely Many Maximum Functions. Mathematical Problems in Engineering No. 2008 (2008), pp.1-10.
https://search.emarefa.net/detail/BIM-510113
American Medical Association (AMA)
Du, Shou-qiang& Gao, Yan. A Modified Levenberg-Marquardt Method for Nonsmooth Equations with Finitely Many Maximum Functions. Mathematical Problems in Engineering. 2009. Vol. 2008, no. 2008, pp.1-10.
https://search.emarefa.net/detail/BIM-510113
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-510113