Koçak's method shows that an unwittingly exaggerated convergence order is in fact 2

DOI10.1016/J.AMC.2013.03.034zbMath1290.65045OpenAlexW2072712392MaRDI QIDQ2016361

Mehmet Çetin Koçak

Publication date: 20 June 2014

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

Full work available at URL: https://doi.org/10.1016/j.amc.2013.03.034

zbMATH Keywords

Newton's methodconvergence accelerationiterative methodsnonlinear equations

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (1)

Koçak's double linearization loop renders a one-point, one-go nonlinear equation solver

Cites Work

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• Second derivative of an iterative solver boosts its acceleration by Koçak's method
• An improvement to the fixed point iterative method
• Simple geometry facilitates iterative solution of a nonlinear equation via a special transformation to accelerate convergence to third order

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