Extending the applicability of Newton's method by improving a local result due to Dennis and Schnabel

DOI10.1007/s40324-014-0011-zzbMath1312.65084OpenAlexW2002120595MaRDI QIDQ489939

D. González, Ioannis K. Argyros

Publication date: 21 January 2015

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40324-014-0011-z

zbMATH Keywords

Newton's methodlocal convergenceorder convergence

Mathematics Subject Classification ID

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

Related Items (2)

On a result by Dennis and Schnabel for Newton's method: further improvements ⋮ A short survey on Kantorovich

Cites Work

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• Majorizing sequences for Newton's method from initial value problems
• On the Newton-Kantorovich hypothesis for solving equations
• On the local convergence of Newton's method under generalized conditions of Kantorovich
• A Newton-Kantorovich theorem for equations involving \(m\)-Fréchet differentiable operators and applications in radiative transfer

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