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
โฆ LIBER โฆ
Limited memory BFGS method with backtracking for symmetric nonlinear equations
โ Scribed by Gonglin Yuan; Zengxin Wei; Sha Lu
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 260 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0895-7177
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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.