A new technique for studying the convergence of Newton's solver with real life applications

DOI10.1007/s10910-020-01119-0zbMath1436.65068OpenAlexW3012336320MaRDI QIDQ2309764

Ioannis K. Argyros, Juan Antonio Sicilia, Ángel Alberto Magreñán, Dionisio F. Yáñez

Publication date: 1 April 2020

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-020-01119-0

zbMATH Keywords

convergenceNewton's methodBanach spaceFréchet-derivative

Mathematics Subject Classification ID

Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

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• New Kantorovich-Type Conditions for Halley's Method
• Modification of the Kantorovich assumptions for semilocal convergence of the Chebyshev method

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