Convergence Analysis and Dynamical Nature of an Efficient Iterative Method in Banach Spaces

Convergence Analysis and Dynamical Nature of an Efficient Iterative Method in Banach Spaces

We study the local convergence analysis of a fifth order method and its multi-step version in Banach spaces. The hypotheses used are based on the first Fréchet-derivative only. The new approach provides a computable radius of convergence, error bounds on the distances involved, and estimates on the...

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Bibliographic Details
Main Authors: Deepak Kumar, Sunil Kumar, Janak Raj Sharma, Lorentz Jantschi
Format: Article
Language:English
Published: MDPI AG 2021-10-01
Series:Mathematics
Subjects:
local convergence
nonlinear equations
Banach space
Fréchet-derivative
Online Access:https://www.mdpi.com/2227-7390/9/19/2510

Internet

https://www.mdpi.com/2227-7390/9/19/2510

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