Local Convergence of an Optimal Eighth Order Method under Weak Conditions

Local Convergence of an Optimal Eighth Order Method under Weak Conditions

We study the local convergence of an eighth order Newton-like method to approximate a locally-unique solution of a nonlinear equation. Earlier studies, such as Chen et al. (2015) show convergence under hypotheses on the seventh derivative or even higher, although only the first derivative and the di...

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Bibliographic Details
Main Authors: Ioannis K. Argyros, Ramandeep Behl, S.S. Motsa
Format: Article
Language:English
Published: MDPI AG 2015-08-01
Series:Algorithms
Subjects:
Newton-like method
local convergence
efficiency index
optimum method
Online Access:http://www.mdpi.com/1999-4893/8/3/645

Internet

http://www.mdpi.com/1999-4893/8/3/645

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