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On the cubic convergence of the Paardekooper method

✍ Scribed by Noah H. Rhee; Vjeran Hari

Book ID
105293276
Publisher
Springer Netherlands
Year
1995
Tongue
English
Weight
728 KB
Volume
35
Category
Article
ISSN
0006-3835

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πŸ“œ SIMILAR VOLUMES

The cubic semilocal convergence on two v
The cubic semilocal convergence on two variants of Newton's method
✍ Quan Zheng; Rongxia Bai; Zhongli Liu πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 169 KB

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