Local convergence for a multi-point family of super-Halley methods in a Banach space under weak conditions

• Autorzy: Ioannis K. Argyros , Santhosh George
• Języki publikacji: EN

Abstrakty

EN

We present a local multi-point convergence analysis for a family of super-Halley methods of high convergence order in order to approximate a solution of a nonlinear equation in a Banach space. Our sufficient convergence conditions involve only hypotheses on the first and second Fréchet derivative of the operator involved. Earlier studies use hypotheses up to the third Fréchet derivative. Numerical examples are also provided.

Kategorie tematyczne

• 65D99: None of the above, but in this section
• 65D10: Smoothing, curve fitting

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2015
• Tom: 42
• Numer: 2-3
• Strony: 193-203

Daty

wydano

2015

Twórcy

autor

Ioannis K. Argyros

• Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, U.S.A.

autor

Santhosh George

• Department of Mathematical, and Computational Sciences, National Institute of Technology, Karnataka, India 757 025

Identyfikatory

DOI

10.4064/am42-2-6