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Publication Type : Journal Article
Publisher : Algorithms
Source : Algorithms (2020), 13, 25; doi: 10.3390/a13010025.
Url : https://www.mdpi.com/1999-4893/13/1/25/htm
Campus : Chennai
School : School of Engineering
Department : Mathematics
Year : 2020
Abstract : We discuss the local convergence of a derivative-free eighth order method in a Banach space setting. The present study provides the radius of convergence and bounds on errors under the hypothesis based on the first Fréchet-derivative only. The approaches of using Taylor expansions, containing higher order derivatives, do not provide such estimates since the derivatives may be nonexistent or costly to compute. By using only first derivative, the method can be applied to a wider class of functions and hence its applications are expanded. Numerical experiments show that the present results are applicable to the cases wherein previous results cannot be applied.
Cite this Research Publication : Janak Raj Sharma, Sunil Kumar, Ioannis K. Argyros “Local convergence of an efficient multipoint iterative method in Banach space”, Algorithms (2020), 13, 25; doi: 10.3390/a13010025.