Results on Newton methods. I: A unified approach for constructing perturbed Newton-like methods in Banach space and their applications

DOI10.1016/0096-3003(95)00090-9zbMath0851.65040OpenAlexW4235147490MaRDI QIDQ5917794

Ioannis K. Argyros

Publication date: 26 November 1996

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(95)00090-9

zbMATH Keywords

Banach spacenonlinear operator equationmonotone convergenceperturbed Newton-like method

Mathematics Subject Classification ID

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

Related Items (3)

Construction of Newton-like iteration methods for solving nonlinear equations ⋮ Inexact Newton-type methods ⋮ Newton‐like iteration methods for solving non‐linear equations

Cites Work

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• The majorant method in the theory of newton-kantorovich approximations and the pták error estimates
• Convergence domains of certain iterative methods for solving nonlinear equations
• On the monotone convergence of general Newton-like methods

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