Spectral analysis of the errors of some families of multi-step Newton-like methods

DOI10.1007/S11075-008-9256-XzbMath1180.65057OpenAlexW2020371154MaRDI QIDQ841154

Muhammad Zaid Dauhoo, Diyashvir Kreetee Rajiv Babajee

Publication date: 14 September 2009

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-008-9256-x

zbMATH Keywords

numerical examplespower spectrumorder of convergencemulti-point methodsFourier transforms of errorsmulti-step Newton methodsscalar nonlinear equation

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (2)

Semilocal convergence of a sixth-order Jarratt method in Banach spaces ⋮ Convergence and spectral analysis of the Frontini-Sormani family of multipoint third order methods from quadrature rule

Cites Work

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• An analysis of the properties of the variants of Newton's method with third order convergence
• An improvement of the Jarratt method
• Some modifications of Newton's method with fifth-order convergence
• A new iterative method for solving nonlinear equations
• Improvements of the efficiency of some three-step iterative like-Newton methods
• Importance of Convection and Damping on Rates of Convergence for the Lax--Wendroff Method
• A variant of Newton's method with accelerated third-order convergence

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