Local convergence for composite Chebyshev-type methods

Local convergence for composite Chebyshev-type methods

We replace Chebyshev's method for solving equations requiring the second derivative by a Chebyshev-type second derivative free method. The local convergence analysis of the new method is provided using hypotheses only on the first derivative in contrast to the Chebyshev method using hypotheses...

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Bibliographic Details
Main Authors: Santhosh George, İoannis K Argyros
Format: Article
Language:English
Published: Emrah Evren KARA 2018-09-01
Series:Communications in Advanced Mathematical Sciences
Subjects:
chebyshev method
newton method
fr\'echet derivative
local convergence
divided differences
Online Access:https://dergipark.org.tr/tr/download/article-file/544350

Internet

https://dergipark.org.tr/tr/download/article-file/544350

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