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The cubic semilocal convergence on two variants of Newton's method

✍ Scribed by Quan Zheng; Rongxia Bai; Zhongli Liu

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
169 KB
Volume
220
Category
Article
ISSN
0377-0427

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✦ Synopsis

In this paper, we discuss two variants of Newton's method without using any second derivative for solving nonlinear equations. By using the majorant function and confirming the majorant sequences, we obtain the cubic semilocal convergence and the error estimation in the Kantorovich-type theorems. The numerical examples are presented to support the usefulness and significance.

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