How to improve the domain of parameters for Newton's method

DOI10.1016/J.AML.2015.03.018zbMath1319.65045OpenAlexW2053139484MaRDI QIDQ494556

José Antonio Ezquerro, Miguel Ángel Hernández-Verón

Publication date: 1 September 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.03.018

zbMATH Keywords

Newton's methodsemilocal convergencerecurrence relationsdomain of parameters

Mathematics Subject Classification ID

Numerical solutions to equations with nonlinear operators (65J15) Implicit function theorems; global Newton methods on manifolds (58C15)

Related Items (7)

How to Increase the Accessibility of Newton’s Method for Operators With Center-Lipschitz Continuous First Derivative ⋮ Extending the applicability of the local and semilocal convergence of Newton's method ⋮ Unified convergence domains of Newton-like methods for solving operator equations ⋮ A new approach based on the Newton's method to solve systems of nonlinear equations ⋮ Improving the domain of parameters for Newton's method with applications ⋮ A new technique for studying the convergence of Newton's solver with real life applications ⋮ Predetermining the number of periodic steps in multi-step Newton-like methods for solving equations and systems of equations

Cites Work

• Unnamed Item
• Weaker conditions for the convergence of Newton's method
• Extending the applicability of Newton's method for \(k\)-Fréchet differentiable operators in Banach spaces
• On the semilocal convergence of Newton-Kantorovich method under center-Lipschitz conditions
• On the Newton-Kantorovich hypothesis for solving equations
• A semilocal convergence analysis for directional Newton methods
• The Newton-Kantorovich Theorem

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