A cubic-order variant of Newton’s method for finding multiple roots of nonlinear equations
✍ Scribed by Young Ik Kim; Young Hee Geum
- Book ID
- 108078750
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 256 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
For an equation f (x) = 0 having a multiple root of multiplicity m > 1 unknown, we propose a transformation which converts the multiple root to a simple root of H (x) = 0. The transformed function H (x) of f (x) with a small > 0 has appropriate properties in applying a derivative free iterative meth
a b s t r a c t Two accelerating generators that produce iterative root-finding methods of arbitrary order of convergence are presented. Primary attention is paid to algorithms for finding multiple roots of nonlinear functions and, in particular, of algebraic polynomials. First, two classes of algor
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 t