𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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


A derivative free iterative method for f
✍ Beong In Yun 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 485 KB

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

Accelerating generators of iterative met
✍ M.S. Petković; L.D. Petković; J. Džunić 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 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
✍ YoonMee Ham; Changbum Chun; Sang-Gu Lee 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 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