New improved convergence analysis for Newton-like methods with applications

DOI10.1007/s10910-016-0727-3zbMath1421.65013OpenAlexW2574905232MaRDI QIDQ683881

Ioannis K. Argyros, Juan Antonio Sicilia, Ángel Alberto Magreñán

Publication date: 9 February 2018

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-016-0727-3

zbMATH Keywords

semilocal convergencelocal convergenceNewton-type methodsmajoring sequences

Mathematics Subject Classification ID

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

Related Items (1)

Global convergence domains for an efficient fifth order iterative scheme

Cites Work

• Weaker conditions for the convergence of Newton's method
• An updated version of the Kantorovich theorem for Newton's method
• Untere Fehlerschranken für Regula-Falsi-Verfahren
• Application of interval Newton's method to chemical engineering problems
• Secant-like methods for solving nonlinear integral equations of the Hammerstein type
• Computational theory of iterative methods.
• A multipoint method of third order
• Infinite dimensional multipoint methods and the solution of two point boundary value problems
• New general convergence theory for iterative processes and its applications to Newton-Kantorovich type theorems
• The Kantorovich Theorem with Optimal Error Bounds
• Adaptive Approximation of Nonlinear Operators
• Optimal Error Bounds for the Newton–Kantorovich Theorem
• The inexact, inexact perturbed, and quasi-Newton methods are equivalent models
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