A new Newton-like method for solving nonlinear equations

Author:

Saheya B.ORCID,Chen Guo-qing,Sui Yun-kang,Wu Cai-ying

Funder

Natural Science Foundation of Inner Mongolia (CN)

National Natural Science Foundation of China (CN)

Publisher

Springer Science and Business Media LLC

Subject

Multidisciplinary

Reference31 articles.

1. Andrei N (2008) An unconstrained optimization test functions collection. Adv Model Optim 10:147–161

2. Ariyawansa KA (1990) Deriving collinear scaling algorithms as extensions of quasi-Newton methods and the local convergence of DFP-and BFGS-related collinear scaling algorithms. Math Program 49:23–48

3. Ariyawansa KA, Lau DTM (1992) Local and Q-superlinear convergence of a class of collinear scaling algorithms that extends quasi-newton methods with broyden’s bounded class of updates. Optimization 23(4):323–339

4. Cauchy AL (1829) Sur la détermination approximative des racines d’une équation algébrique ou transcendante. In: Lecons sur le calcul differentiel, Buré fréres, Paris, pp 575–600

5. Darvishi MT, Barati A (2007) A third-order Newton-type method to solve system of nonlinear equations. Appl Math Comput 187:630–635

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