Improving Convergence Analysis of the Newton–Kurchatov Method under Weak Conditions

Improving Convergence Analysis of the Newton–Kurchatov Method under Weak Conditions

The technique of using the restricted convergence region is applied to study a semilocal convergence of the Newton−Kurchatov method. The analysis is provided under weak conditions for the derivatives and the first order divided differences. Consequently, weaker sufficient convergence crite...

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Bibliographic Details
Main Authors: Ioannis K. Argyros, Stepan Shakhno, Halyna Yarmola
Format: Article
Language:English
Published: MDPI AG 2020-01-01
Series:Computation
Subjects:
newton–kurchatov method
ω-type conditions
ε-type conditions
method with decomposition of operator
semilocal convergence
divided differences
restricted convergence region
Online Access:https://www.mdpi.com/2079-3197/8/1/8

Internet

https://www.mdpi.com/2079-3197/8/1/8

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