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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2021, Volume 24, Number 2, Pages 213–227
DOI: https://doi.org/10.15372/SJNM20210207 (Mi sjvm776) 		 
This article is cited in 5 scientific papers (total in 5 papers)

A family of fifth-order iterative methods for finding multiple roots of nonlinear equations

J. R. Sharmaa, H. Arorab

a Department of Mathematics, Sant Longowal Institute of Engineering and Technology, Longowal-148106, Punjab, India
b Department of Mathematics, Guru Nanak Dev University, Amritsar-143005, India
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DOI: https://doi.org/10.15372/SJNM20210207
Abstract: We present a family of fifth order iterative methods for finding multiple roots of nonlinear equations. Numerical examples are considered to check the validity of theoretical results. The results show that the new methods are competitive to other methods for multiple roots. Basins of attraction for new methods and some existing methods are drawn to observe the dynamics in the complex plane.
Key words: nonlinear equations, iterative methods, fast algorithms, multiple roots, attraction basins.
Received: 27.04.2018
Revised: 02.09.2020
Accepted: 04.02.2021
English version:
Numerical Analysis and Applications, 2021, Volume 14, Issue 2, Pages 186–199
DOI: https://doi.org/10.1134/S1995423921020075
Bibliographic databases:
Document Type: Article
MSC: 65H05, 65B99
Language: Russian
Citation: J. R. Sharma, H. Arora, “A family of fifth-order iterative methods for finding multiple roots of nonlinear equations”, Sib. Zh. Vychisl. Mat., 24:2 (2021), 213–227; Num. Anal. Appl., 14:2 (2021), 186–199
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