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
BFGS trust-region method for symmetric nonlinear equations
โ Scribed by Gonglin Yuan; Xiwen Lu; Zengxin Wei
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 842 KB
- Volume
- 230
- Category
- Article
- ISSN
- 0377-0427
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โฆ Synopsis
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.
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