Kantorovich-Like Convergence Theorems for Newton’s Method Using Restricted Convergence Domains

DOI10.1080/01630563.2018.1554582zbMath1482.49030OpenAlexW2911041334MaRDI QIDQ4634136

Santhosh George, Ioannis K. Argyros

Publication date: 7 May 2019

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2018.1554582

zbMATH Keywords

Newton's methodBanach spaceKantorovich hypothesissemi-local convergencerestricted domains

Mathematics Subject Classification ID

Newton-type methods (49M15) Set-valued and variational analysis (49J53) Error analysis and interval analysis (65G99)

Related Items (1)

Achieving an extended convergence analysis for the secant method under a restricted Hölder continuity condition

Uses Software

• NewtonLib

Cites Work

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