Abstract
In this work, we are working to present a local convergence analysis for Chebyshev’s method by using majorizing sequence. The given method is a third order iterative process, used in order to approximate a zero of an nonlinear operator equation in a Banach space. Here we are using a new type of majorant conditions to prove the convergence. We will also try to establish relations between this majorant conditions with results of based on Kantorovich-type and Smale-type assumptions.
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Kumari, C., Parida, P.K. Local convergence analysis for Chebyshev’s method. J. Appl. Math. Comput. 59, 405–421 (2019). https://doi.org/10.1007/s12190-018-1185-9
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DOI: https://doi.org/10.1007/s12190-018-1185-9