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Some higher-order modifications of Newton’s method for solving nonlinear equations

✍ Scribed by YoonMee Ham; Changbum Chun; Sang-Gu Lee

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
453 KB
Volume
222
Category
Article
ISSN
0377-0427

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✦ Synopsis

In this paper we consider constructing some higher-order modifications of Newton's method for solving nonlinear equations which increase the order of convergence of existing iterative methods by one or two or three units. This construction can be applied to any iteration formula, and per iteration the resulting methods add only one additional function evaluation to increase the order. Some illustrative examples are provided and several numerical results are given to show the performance of the presented methods.

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