✦ LIBER ✦

Some modifications of Newton's method with fifth-order convergence

✍ Scribed by Jisheng Kou; Yitian Li; Xiuhua Wang

Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 133 KB
Volume: 209
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2006.10.072

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✦ Synopsis

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 developed.

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