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On the monotone convergence of Newton's method

✍ Scribed by Florian A. Potra; Werner C. Rheinboldt


Publisher
Springer Vienna
Year
1986
Tongue
English
Weight
452 KB
Volume
36
Category
Article
ISSN
0010-485X

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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. Th