Recurrence relations for the super-Halley method

✍ Scribed by J.M. Gutiérrez; M.A. Hernández

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 406 KB
• Volume: 36
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/s0898-1221(98)00168-0

✦ Synopsis

In this paper we give sufficient conditions in order to assure the convergence of the super-Halley method in Banach spaces. We use a system of recurrence relations analogous to those given in the classical Newton-Kantorovich theorem, or those given for Chebyshev and Halley methods by different authors. (~) 1998 Elsevier Science Ltd. All rights reserved.

Keywords--Nonlinear equations in Banach spaces, Third-order method, Recurrence relations, Convergence theorem.