Original scientific paper
Local convergence analysis of two competing two-step iterative methods free of derivatives for solving equations and systems of equations
Ioannis K. Argyros
; Department of Mathematical Sciences, Cameron University, Lawton
Santhosh George
; Department of Mathematical and Computational Sciences, National Institute of Technology, Karnataka, Surathkal, India
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
Keywords
two-step secant method; two-step Kurchatov method; local convergence; divided differences; Fr´echet-derivative; radius of convergence; Lipschitz conditions
Hrčak ID:
227105
URI
Publication date:
25.10.2019.
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