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Some modification of Newton’s method by the method of undetermined coefficients

✍ Scribed by Changbum Chun; Beny Neta


Book ID
108077277
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
293 KB
Volume
56
Category
Article
ISSN
0898-1221

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Some modifications of Newton's method wi
✍ Jisheng Kou; Yitian Li; Xiuhua Wang 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 133 KB

In this paper, we present some new modifications of Newton's method for solving non-linear equations. Analysis of convergence shows that these methods have order of convergence five. Numerical tests verifying the theory are given and based on these methods, a class of new multistep iterations is dev