On the convergence of open Newton's method

DOI10.1007/s41478-023-00572-9MaRDI QIDQ6118959

Ioannis K. Argyros, Ajil Kunnarath, Ramya Sadananda, Jidesh Padikkal, Santhosh George

Publication date: 21 March 2024

Published in: The Journal of Analysis (Search for Journal in Brave)

zbMATH Keywords

Banach spaceFréchet derivativeorder of convergenceopen Newton's method

Mathematics Subject Classification ID

Newton-type methods (49M15) Numerical solutions to equations with nonlinear operators (65J15) Nonlinear operators and their properties (47H99)

Cites Work

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• Real dynamics for damped Newton's method applied to cubic polynomials
• Multipoint methods for solving nonlinear equations: a survey
• Increasing the convergence order of an iterative method for nonlinear systems
• Convergence rates and convergence-order profiles for sequences
• Iterative methods of order four and five for systems of nonlinear equations
• Variants of Newton's method using fifth-order quadrature formulas
• On the \(R\)-order of convergence of Newton's method under mild differentiability conditions
• The Theory and Applications of Iteration Methods

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