On the development of iterative methods for multiple roots
β Scribed by Neta, Beny; Chun, Changbum; Scott, Melvin
- Book ID
- 121212846
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 221 KB
- Volume
- 224
- Category
- Article
- ISSN
- 0096-3003
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
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