Sharp estimation of local convergence radius for the Picard iteration

DOI10.1007/s11784-018-0518-5zbMath1386.65152OpenAlexW2791567664MaRDI QIDQ1742545

Laura Măruşter, Ștefan Mărușter

Publication date: 11 April 2018

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-018-0518-5

zbMATH Keywords

local convergencePicard iterationradius of convergence

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15) Iteration of real functions in one variable (26A18)

Cites Work

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• On the local convergence of a third order family of iterative processes
• An optimization of Chebyshev's method
• Semilocal convergence by using recurrence relations for a fifth-order method in Banach spaces
• Local convergence of Exquerro-Hernandez method
• Asymptotic Mesh Independence of Newton–Galerkin Methods via a Refined Mysovskii Theorem
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