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
✦ LIBER ✦
Accelerating the cubic regularization of Newton’s method on convex problems
✍ Scribed by Yu. Nesterov
- Publisher
- Springer-Verlag
- Year
- 2007
- Tongue
- English
- Weight
- 291 KB
- Volume
- 112
- Category
- Article
- ISSN
- 0025-5610
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