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A BFGS trust-region method for nonlinear equations

✍ Scribed by Gonglin Yuan; Zengxin Wei; Xiwen Lu

Publisher
Springer Vienna
Year
2011
Tongue
English
Weight
237 KB
Volume
92
Category
Article
ISSN
0010-485X

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πŸ“œ SIMILAR VOLUMES

BFGS trust-region method for symmetric n
BFGS trust-region method for symmetric nonlinear equations
✍ Gonglin Yuan; Xiwen Lu; Zengxin Wei πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 842 KB

In this paper, we propose a BFGS trust-region method for solving symmetric nonlinear equations. The global convergence and the superlinear convergence of the presented method will be established under favorable conditions. Numerical results show that the new algorithm is effective.

A new backtracking inexact BFGS method f
A new backtracking inexact BFGS method for symmetric nonlinear equations
✍ Gonglin Yuan; Xiwen Lu πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 285 KB

A BFGS method, in association with a new backtracking line search technique, is presented for solving symmetric nonlinear equations. The global and superlinear convergences of the given method are established under mild conditions. Preliminary numerical results show that the proposed method is bette