Local Convergence of Jarratt-Type Methods with Less Computation of Inversion Under Weak Conditions
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.
Keywords:
multi-point methods, Banach space, convergence ball, local convergence, Jarratt-type methodsHow to Cite
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Copyright (c) 2017 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2017 The Author(s). Published by Vilnius Gediminas Technical University.
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This work is licensed under a Creative Commons Attribution 4.0 International License.