A Trust-Region-Based BFGS Method with Line Search Technique for Symmetric Nonlinear Equations
Joint Authors
Wei, Zengxin
Meng, Shide
Yuan, Gonglin
Source
Advances in Operations Research
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-11-30
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Information Technology and Computer Science
Abstract EN
A trust-region-based BFGS method is proposed for solving symmetric nonlinear equations.
In this given algorithm, if the trial step is unsuccessful, the linesearch technique will be used instead of repeatedly solving the subproblem of the normal trust-region method.
We establish the global and superlinear convergence of the method under suitable conditions.
Numerical results show that the given method is competitive to the normal trust region method.
American Psychological Association (APA)
Yuan, Gonglin& Meng, Shide& Wei, Zengxin. 2009. A Trust-Region-Based BFGS Method with Line Search Technique for Symmetric Nonlinear Equations. Advances in Operations Research،Vol. 2009, no. 2009, pp.1-22.
https://search.emarefa.net/detail/BIM-507347
Modern Language Association (MLA)
Yuan, Gonglin…[et al.]. A Trust-Region-Based BFGS Method with Line Search Technique for Symmetric Nonlinear Equations. Advances in Operations Research No. 2009 (2009), pp.1-22.
https://search.emarefa.net/detail/BIM-507347
American Medical Association (AMA)
Yuan, Gonglin& Meng, Shide& Wei, Zengxin. A Trust-Region-Based BFGS Method with Line Search Technique for Symmetric Nonlinear Equations. Advances in Operations Research. 2009. Vol. 2009, no. 2009, pp.1-22.
https://search.emarefa.net/detail/BIM-507347
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-507347
