Unified Convergence Criteria of Derivative-Free Iterative Methods for Solving Nonlinear Equations

Unified Convergence Criteria of Derivative-Free Iterative Methods for Solving Nonlinear Equations

A local and semi-local convergence is developed of a class of iterative methods without derivatives for solving nonlinear Banach space valued operator equations under the classical Lipschitz conditions for first-order divided differences. Special cases of this method are well-known iterative algorit...

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Bibliographic Details
Main Authors: Samundra Regmi, Ioannis K. Argyros, Stepan Shakhno, Halyna Yarmola
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Computation
Subjects:
iterative method
Banach space
divided difference
semi-local convergence
local convergence
error analysis
Online Access:https://www.mdpi.com/2079-3197/11/3/49

Internet

https://www.mdpi.com/2079-3197/11/3/49

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