On the Kantorovich Theory for Nonsingular and Singular Equations

On the Kantorovich Theory for Nonsingular and Singular Equations

We develop a new Kantorovich-like convergence analysis of Newton-type methods to solve nonsingular and singular nonlinear equations in Banach spaces. The outer or generalized inverses are exchanged by a finite sum of linear operators making the implementation of these methods easier than in earlier...

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Bibliographic Details
Main Authors: Ioannis K. Argyros, Santhosh George, Samundra Regmi, Michael I. Argyros
Format: Article
Language:English
Published: MDPI AG 2024-05-01
Series:Axioms
Subjects:
outer inverse
generalized inverse
Banach space
Newton-type method
convergence
Hilbert space
Online Access:https://www.mdpi.com/2075-1680/13/6/358

Internet

https://www.mdpi.com/2075-1680/13/6/358

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