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Author: search.filters.author.Khattri, S.K.Subject: search.filters.subject.local convergence

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    Local convergence of an at least sixth-order method in Banach spaces
    (Birkhauser Verlag AG, 2019) Argyros, I.K.; Khattri, S.K.; George, S.
    We present a local convergence analysis of an at least sixth-order family of methods to approximate a locally unique solution of nonlinear equations in a Banach space setting. The semilocal convergence analysis of this method was studied by Amat et al. in (Appl Math Comput 206:164–174, 2008; Appl Numer Math 62:833–841, 2012). This work provides computable convergence ball and computable error bounds. Numerical examples are also provided in this study. © 2019, Springer Nature Switzerland AG.