Aitken type methods with high efficiency

DOI10.1016/j.trmi.2018.01.001zbMath1402.65043OpenAlexW2794887871MaRDI QIDQ1643953

Pankaj Jain, Kriti Sethi

Publication date: 20 June 2018

Published in: Transactions of A. Razmadze Mathematical Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.trmi.2018.01.001

zbMATH Keywords

Newton methodnonlinear equationsAitken-type methodgeneralized secant method

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (2)

Unnamed Item ⋮ Nonstationary vs. stationary iterative processes

Cites Work

• Unnamed Item
• The Fibonacci family of iterative processes for solving nonlinear equations
• Some variant of Newton's method with third-order convergence.
• On Newton-type methods with cubic convergence
• Some new variants of Newton's method.
• A significant improvement on Newton's iterative method
• On an Aitken-Newton type method
• A simple modification of Newton's method to achieve convergence of order \(1+\sqrt 2\)
• A nonstationary iterative second-order method for solving nonlinear equations
• Families of Newton-like methods with fourth-order convergence
• A variant of Newton's method with accelerated third-order convergence

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