Local convergence analysis of two competing two-step iterative methods free of derivatives for solving equations and systems of equations
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Date
2019
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Publisher
Udruga Matematicara Osijek oml@mathos.hr
Abstract
We present the local convergence analysis of two-step iterative methods free of derivatives for solving equations and systems of equations under similar hypotheses based on Lipschitz-type conditions. The methods are in particular useful for solving equations or systems involving non-differentiable terms. A comparison is also provided using suitable numerical examples. © 2019 Department of Mathematics, University of Osijek.
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Keywords
Divided differences, Fréchet-derivative, Lipschitz conditions, Local convergence, Radius of convergence, Two-step Kurchatov method, Two-step secant method
Citation
Mathematical Communications, 2019, 24, 2, pp. 263-276