A new approach for finding weaker conditions for the convergence of Newton's method

DOI10.4064/AM32-4-7zbMATH Open1090.65063OpenAlexW2130740854MaRDI QIDQ5469355

Ioannis Konstantinos Argyros

Publication date: 18 May 2006

Published in: Applicationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/am32-4-7

zbMATH Keywords

convergenceNewton's methodnumerical exampleserror boundsBanach spaceFréchet derivativemajorant principlecenter-Lipschitz conditionNewton-Kantorovich hypothesis/theorem

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (2)

New conditions for the convergence of Newton-like methods and applications ⋮ Relaxing convergence conditions for Newton's method

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