𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Constructing higher-order methods for obtaining the multiple roots of nonlinear equations

✍ Scribed by Xiaojian Zhou; Xin Chen; Yongzhong Song

Book ID
108076844
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
213 KB
Volume
235
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Accelerating generators of iterative met
Accelerating generators of iterative methods for finding multiple roots of nonlinear equations
✍ M.S. PetkoviΔ‡; L.D. PetkoviΔ‡; J. DΕΎuniΔ‡ πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 397 KB

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

Some higher-order modifications of Newto
Some higher-order modifications of Newton’s method for solving nonlinear equations
✍ YoonMee Ham; Changbum Chun; Sang-Gu Lee πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 453 KB

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