ON HIGHLY EFFICIENT SIMULTANEOUS SCHEMES FOR FINDING ALL POLYNOMIAL ROOTS

Mudassir Shams, Naila Rafiq, Nasreen Kausar, Praveen Agarwal, Nazir Ahmad Mir and Yong-Min Li
Additional contact information
Mudassir Shams: Department of Mathematics and Statistics, Riphah International University, I-14, Islamabad 44000, Pakistan
Naila Rafiq: ��Department of Mathematics, National University of Modern Languages (NUML), Islamabad, Pakistan
Nasreen Kausar: ��Department of Mathematics, Faculty of Arts and Science, Yildiz Technical University, Esenler 34210, Istanbul, Turkey
Praveen Agarwal: �Department of Mathematics, Anand International College of Engineering, Jaipur 303012, Rajasthan, India¶Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St., 117198 Moscow, Russia∥Russian Federation and Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE**International Center for Basic and Applied Sciences, Jaipur 302029, India
Nazir Ahmad Mir: ��Department of Mathematics, National University of Modern Languages (NUML), Islamabad, Pakistan
Yong-Min Li: ��†Department of Mathematics, Huzhou University, Huzhou 313000, P. R. China‡‡Institute for Advanced Study Honoring Chen Jian Gong, Hangzhou Normal University, Hangzhou 311121, P. R. China

FRACTALS (fractals), 2022, vol. 30, issue 10, 1-10

Abstract: This paper develops optimal family of fourth-order iterative techniques in order to find a single root and to generalize them for simultaneous finding of all roots of polynomial equation. Convergence study reveals that for single root finding methods, its optimal convergence order is 4, while for simultaneous methods, it is 12. Computational cost and numerical illustrations demonstrate that the newly developed family of methods outperformed the previous methods available in the literature.

Keywords: Multiple Roots; Iterative Technique; Convergence Order; Computational Efficiency; CPU-Time (search for similar items in EconPapers)
Date: 2022
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X22401983
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:30:y:2022:i:10:n:s0218348x22401983

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X22401983

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().