Local convergence of two competing third order methods in Banach space

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

Abstrakty

EN

We present a local convergence analysis for two popular third order methods of approximating a solution of a nonlinear equation in a Banach space setting. The convergence ball and error estimates are given for both methods under the same conditions. A comparison is given between the two methods, as well as numerical examples.

Kategorie tematyczne

• 49M15: Newton-type methods
• 65G99: None of the above, but in this section
• 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: 2014
• Tom: 41
• Numer: 4
• Strony: 341-350

Daty

wydano

2014

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/am41-4-5