Several improvements of the 2-point third order midpoint iterative method using weight functions

DOI10.1016/J.AMC.2012.02.016zbMath1242.65097OpenAlexW2071337744MaRDI QIDQ419562

Diyashvir Kreetee Rajiv Babajee

Publication date: 18 May 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.02.016

zbMATH Keywords

global convergencenumerical examplesweight functionsKung-Traub conjecturemidpoint methodnonlinear functionsJarratt-type methodshigher order convergencemulti point

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (7)

High order quadrature based iterative method for approximating the solution of nonlinear equations ⋮ Some new bi-accelerator two-point methods for solving nonlinear equations ⋮ A family of higher order multi-point iterative methods based on power mean for solving nonlinear equations ⋮ A globally convergent variant of mid-point method for finding the matrix sign ⋮ Some improvements to a third order variant of Newton's method from Simpson's rule ⋮ On the Kung-Traub conjecture for iterative methods for solving quadratic equations ⋮ On a two-parameter Chebyshev-Halley-like family of optimal two-point fourth order methods free from second derivatives

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• A modified Newton method for rootfinding with cubic convergence.
• Some variant of Newton's method with third-order convergence.
• Optimal Order of One-Point and Multipoint Iteration
• Families of optimal multipoint methods for solving nonlinear equations: A survey

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