A Trust-Region-Based BFGS Method with Line Search Technique for Symmetric Nonlinear Equations. (3rd November 2009)

• Record Type: Journal Article
• Authors: Yuan, Gonglin; Meng, Shide; Wei, Zengxin
• Other Names: Moshirvaziri Khosrow Academic Editor.
• Is Part Of: Advances in operations research. Volume 2009(2009)
• Publication Date: 2009-11-03
• Subjects: Operations research -- Periodicals; Operations research; Periodicals; 003
• DOI: 10.1155/2009/909753
• Languages: English
• ISSNs: 1687-9147

Abstract

Abstract : 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.