On the convergence of generalized Newton methods and implicit functions

DOI10.1016/0377-0427(92)90019-TzbMath0787.65033OpenAlexW2049774841MaRDI QIDQ1195742

Ioannis K. Argyros

Publication date: 18 January 1993

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

Full work available at URL: https://doi.org/10.1016/0377-0427(92)90019-t

zbMATH Keywords

Banach spacesNewton methodslocal convergence

Mathematics Subject Classification ID

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

Related Items (2)

Newton-like methods for solving underdetermined nonlinear equations with nondifferentiable terms ⋮ A convergence theorem for Newton-like methods under generalized Chen- Yamamoto-type assumptions

Cites Work

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• An application of a modification of the Newton-Kantorovich method to the approximate construction of implicit functions
• A note on a posteriori error bound of zabrejko and nguen for zincenko's iteration
• Newton's method in generalized banach spaces
• The majorant method in the theory of newton-kantorovich approximations and the pták error estimates
• On a general iterative scheme for newton-type methods
• Convergence domains of certain iterative methods for solving nonlinear equations
• A kantorovich-type theorem for inexact newton methods

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