Local Convergence of Jarratt-Type Methods with Less Computation of Inversion Under Weak Conditions
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Date
2017
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Taylor and Francis Ltd.
Abstract
We present a local convergence analysis for Jarratt-type methods in order to approximate a solution of a nonlinear equation in a Banach space setting. Earlier studies cannot be used to solve equations using such methods. The convergence ball and error estimates are given for these methods. Numerical examples are also provided in this study. © 2017, © Vilnius Gediminas Technical University, 2017.
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Keywords
Banach spaces, Convergence ball, Error estimates, Local Convergence, Multi-point methods, Type methods, Nonlinear equations
Citation
Mathematical Modelling and Analysis, 2017, 22, 2, pp. 228-236