Damped Traub’s method: Convergence and stability

Alicia Cordero, Alfredo Ferrero and Juan R. Torregrosa

Mathematics and Computers in Simulation (MATCOM), 2016, vol. 119, issue C, 57-68

Abstract: In this paper, a parametric family including Newton’s and Traub’s iterative schemes is presented. Its local convergence and dynamical behavior on quadratic polynomials are studied. The analysis of fixed and critical points and the associated parameter plane show the dynamical richness of the family and allow us to find members of it with good numerical properties, as well as other ones with very unstable behavior.

Keywords: Nonlinear equations; Iterative methods; Dynamical behavior; Traub’s family; Convergence regions (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:119:y:2016:i:c:p:57-68

DOI: 10.1016/j.matcom.2015.08.012

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