Estimating the radius of an attraction ball

DOI10.1016/j.aml.2008.08.007zbMath1177.47062OpenAlexW2121054867MaRDI QIDQ1021805

Emil Cătinaş

Publication date: 9 June 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2008.08.007

zbMATH Keywords

fixed pointsattraction pointsattraction balls

Mathematics Subject Classification ID

Fixed-point theorems (47H10)

Related Items (10)

Estimating the local radius of convergence for Picard iteration ⋮ On the local convergence of the modified Newton method ⋮ Local convergence of generalized Mann iteration ⋮ On the problem of starting points for iterative methods ⋮ Asymptotically non-expansive self-maps and global stability with ultimate boundedness of dynamic systems ⋮ Sharp estimation of local convergence radius for the Picard iteration ⋮ Improved results on estimating and extending the radius of an attraction ball ⋮ The radius of attraction for Newton's method and TV-minimization image denoising ⋮ Predetermining the number of periodic steps in multi-step Newton-like methods for solving equations and systems of equations ⋮ How Many Steps Still Left to $x$*?

Cites Work

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• On the superlinear convergence of the successive approximations method
• On Q-order and R-order of convergence
• Local Convergence of Inexact Newton Methods
• Asymptotic Mesh Independence of Newton–Galerkin Methods via a Refined Mysovskii Theorem
• On The Convergence And Application Of Newton's Method Under Weak HÖlder Continuity Assumptions
• The inexact, inexact perturbed, and quasi-Newton methods are equivalent models
• Inexact perturbed Newton methods and applications to a class of Krylov solvers
• \(Q\)-superlinear convergence of the iterates in primal-dual interior-point methods

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