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Local convergence of Exquerro-Hernandez method

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Publication:2679405
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DOI10.1515/awutm-2016-0009OpenAlexW2527460344MaRDI QIDQ2679405

Ștefan Mărușter

Publication date: 20 January 2023

Published in: Analele Universității de Vest din Timișoara. Seria Matematică-Informatică (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/awutm-2016-0009


zbMATH Keywords

iterative methodnonlinear equationlocal convergencelocal convergence radiusEzquerro-Hernandez iteration


Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)


Related Items (2)

Sharp estimation of local convergence radius for the Picard iteration ⋮ Saturated contraction principles for non self operators, generalizations and applications



Cites Work

  • Unnamed Item
  • On the error estimation and \(T\)-stability of the Mann iteration
  • Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
  • \(T\)-stability of Picard iteration in metric spaces
  • On the local convergence of a third order family of iterative processes
  • An optimization of Chebyshev's method
  • Sur Le Calcul Des Zeros D'un Operateur Discontinu Par Iteration
  • The Solution by Iteration of Nonlinear Equations in Hilbert Spaces


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