The Fibonacci family of iterative processes for solving nonlinear equations

DOI10.1016/j.apnum.2016.08.012zbMath1351.65030OpenAlexW2512938791MaRDI QIDQ321379

Tamara Kogan, Luba Sapir, Amir Sapir, Ariel Sapir

Publication date: 13 October 2016

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2016.08.012

zbMATH Keywords

iterative methodsorder of convergencesecant methodefficiency indexFibonacci sequences of higher orderOstrowski-Traub criteria

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Complexity and performance of numerical algorithms (65Y20) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (5)

Aitken type methods with high efficiency ⋮ EFFICIENT NUMERICAL METHODS OF AITKEN TYPE AND THEIR DYNAMICS ⋮ Nonstationary vs. stationary iterative processes ⋮ To the question of efficiency of iterative methods ⋮ A common framework for modified regula falsi methods and new methods of this kind

Cites Work

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