On the local convergence and the dynamics of Chebyshev-Halley methods with six and eight order of convergence
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Publication:908394
DOI10.1016/j.cam.2015.11.036zbMath1331.65086OpenAlexW2190816950MaRDI QIDQ908394
Ioannis K. Argyros, Ángel Alberto Magreñán
Publication date: 4 February 2016
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2015.11.036
Numerical smoothing, curve fitting (65D10) Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Programming in abstract spaces (90C48)
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The convergence ball and error analysis of the two-step secant method ⋮ A family of higher order iterations free from second derivative for nonlinear equations in \(\mathbb{R}\) ⋮ Extending the applicability of a Newton-Simpson-like method ⋮ Convergence of a Stirling-like method for fixed points in Banach spaces ⋮ Dynamics of Newton-like root finding methods ⋮ Convergence regions for the Chebyshev-Halley family ⋮ Connectivity of the Julia set for the Chebyshev-Halley family on degree \(n\) polynomials ⋮ A family of Kurchatov-type methods and its stability ⋮ Improving the domain of parameters for Newton's method with applications ⋮ A study on the local convergence and dynamics of the two-step and derivative-free Kung-Traub's method ⋮ Dynamics of subfamilies of Ostrowski-Chun methods ⋮ Dynamical techniques for analyzing iterative schemes with memory ⋮ Local convergence of fourth and fifth order parametric family of iterative methods in Banach spaces ⋮ Local convergence of parameter based method with six and eighth order of convergence ⋮ DYNAMICS OF A FAMILY OF RATIONAL OPERATORS OF ARBITRARY DEGREE
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