Affiliation:
1. Maulana Azad National Institute of Technology
2. Guru Ghasidas Vishwavidyalaya
Abstract
The local convergence analysis of a seventh order algorithm for solving nonlinear equations is presented inthe current discussion by assuming that the ?rst-order Fréchet derivative belongs to the Lipschitz class. Thisapproach yields radii of convergence ball, error bound and uniqueness of the solution. Further, generalizationof the study extended by considering Hölder continuity condition. At last, we estimated the radii of theconvergence balls using a variety of numerical examples, including a nonlinear Hammerstein equation.
Subject
Applied Mathematics,Geometry and Topology,Mathematics (miscellaneous),Analysis
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