Local Convergence and the Dynamics of a Two-Step Newton-Like Method

DOI10.1142/S0218127416300123zbMath1343.47067MaRDI QIDQ3187912

Ioannis K. Argyros, Ángel Alberto Magreñán

Publication date: 5 September 2016

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

dynamicslocal convergencetwo-step Newton-like methods

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (3)

On the local convergence study for an efficient \(k\)-step iterative method ⋮ A family of higher order iterations free from second derivative for nonlinear equations in \(\mathbb{R}\) ⋮ Generalizing the local convergence analysis of a class of $k$-step iterative algorithms with H

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