A multidimensional dynamical approach to iterative methods with memory

Beatriz Campos, Alicia Cordero, Juan R. Torregrosa and Pura Vindel

Applied Mathematics and Computation, 2015, vol. 271, issue C, 701-715

Abstract: A dynamical approach on the dynamics of iterative methods with memory for solving nonlinear equations is made. We have designed new methods with memory from Steffensen’ or Traub’s schemes, as well as from a parametric family of iterative procedures of third- and fourth-order of convergence. We study the local order of convergence of the new iterative methods with memory.

Keywords: Nonlinear equations; Iterative method with memory; Basin of attraction; Dynamical plane; Stability; Bifurcation (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:271:y:2015:i:c:p:701-715

DOI: 10.1016/j.amc.2015.09.056

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