Local convergence for deformed Chebyshev-type method in Banach space under weak conditions

Local convergence for deformed Chebyshev-type method in Banach space under weak conditions

We present a local convergence analysis for deformed Chebyshev methods in order to approximate a solution of a nonlinear equation in a Banach space setting. Our methods include the Chebyshev and other high-order methods under hypotheses up to the first Fréchet derivative in contrast to earlier studi...

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Bibliographic Details
Main Authors: Ioannis K. Argyros, Santhosh George
Format: Article
Language:English
Published: Taylor & Francis Group 2015-12-01
Series:Cogent Mathematics
Subjects:
Chebyshev method
Banach space
convergence ball
local convergence
Online Access:http://dx.doi.org/10.1080/23311835.2015.1036958

Internet

http://dx.doi.org/10.1080/23311835.2015.1036958

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