Efficient iterative methods for finding simultaneously all the multiple roots of polynomial equationopen access
- Authors
- Shams, Mudassir; Rafiq, Naila; Kausar, Nasreen; Agarwal, Praveen; Park, Choonkil; Momani, Shaher
- Issue Date
- Nov-2021
- Publisher
- SPRINGER
- Keywords
- Multiple roots; Polynomial equation; Iterative methods; Simultaneous methods; Computational efficiency and CPU-time
- Citation
- ADVANCES IN DIFFERENCE EQUATIONS, v.2021, no.1, pp.1 - 11
- Indexed
- SCIE
SCOPUS
- Journal Title
- ADVANCES IN DIFFERENCE EQUATIONS
- Volume
- 2021
- Number
- 1
- Start Page
- 1
- End Page
- 11
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/140500
- DOI
- 10.1186/s13662-021-03649-6
- ISSN
- 1687-1839
- Abstract
- Two new iterative methods for the simultaneous determination of all multiple as well as distinct roots of nonlinear polynomial equation are established, using two suitable corrections to achieve a very high computational efficiency as compared to the existing methods in the literature. Convergence analysis shows that the orders of convergence of the newly constructed simultaneous methods are 10 and 12. At the end, numerical test examples are given to check the efficiency and numerical performance of these simultaneous methods.
- Files in This Item
-
- Appears in
Collections - 서울 자연과학대학 > 서울 수학과 > 1. Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.