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Generating optimal eighth order methods for computing multiple roots

Publication Type : Journal Article

Source : Symmetry (2020), 12, 1947; doi:10.3390/sym12121947.

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Campus : Chennai

School : School of Engineering

Department : Mathematics

Year : 2020

Abstract : There are a few optimal eighth order methods in literature for computing multiple zeros of a nonlinear function. Therefore, in this work our main focus is on developing a new family of optimal eighth order iterative methods for multiple zeros. The applicability of proposed methods is demonstrated on some real life and academic problems that illustrate the efficient convergence behavior. It is shown that the newly developed schemes are able to compete with other methods in terms of numerical error, convergence and computational time. Stability is also demonstrated by means of a pictorial tool, namely, basins of attraction that have the fractal-like shapes along the borders through which basins are symmetric. View Full-Text

Cite this Research Publication : Deepak Kumar, Sunil Kumar, Janak Raj Sharma, Matteo d’Amore “Generating optimal eighth order methods for computing multiple roots”, Symmetry (2020), 12, 1947; doi:10.3390/sym12121947.

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