Local convergence for a family of iterative methods based on decomposition techniques

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

Abstrakty

EN

We present a local convergence analysis for a family of iterative methods obtained by using decomposition techniques. The convergence of these methods was shown before using hypotheses on up to the seventh derivative although only the first derivative appears in these methods. In the present study we expand the applicability of these methods by showing convergence using only the first derivative. Moreover we present a radius of convergence and computable error bounds based only on Lipschitz constants. 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: 2016
• Tom: 43
• Numer: 1
• Strony: 133-143

Daty

wydano

2016

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, NIT Karnataka, Karnataka, India 575 025

autor

Shobha Monnanda Erappa

• Department of Mathematical and Computational Sciences, NIT Karnataka, India-575 025

Identyfikatory

DOI

10.4064/am2261-12-2015