On the ball of convergence of secant-like methods for non-differentiable operators

M.A. Hernández-Verón and M.J. Rubio

Applied Mathematics and Computation, 2016, vol. 273, issue C, 506-512

Abstract: In this paper, we analyze the local convergence of a uniparametric family of secant-like methods for solving nonlinear operators in Banach spaces. This new study has an important and novel feature, since it is applicable to non-differential operators. So far, the results of local convergence usually considered can be only applied to differentiable operators.

Keywords: Divided difference; Nonlinear equation; Non-differentiable operator; The secant method; Iterative method; Local convergence (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:apmaco:v:273:y:2016:i:c:p:506-512

DOI: 10.1016/j.amc.2015.10.007

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