Abstract

A highly efficient new three-step derivative-free family of numerical iterative schemes for estimating all roots of polynomial equations is presented. Convergence analysis proved that the proposed simultaneous iterative method possesses 12th-order convergence locally. Numerical examples and computational cost are given to demonstrate the capability of the method presented.

Details

Title
On highly efficient derivative-free family of numerical methods for solving polynomial equation simultaneously
Author
Mudassir, Shams 1 ; Rafiq Naila 2 ; Kausar Nasreen 3 ; Agarwal Praveen 4 ; Park Choonkil 5 ; Mir Nazir Ahmad 2 

 Riphah International University I-14, Department of Mathematics and Statistics, Islamabad, Pakistan (GRID:grid.414839.3) (ISNI:0000 0001 1703 6673) 
 NUML, Department of Mathematics, Islamabad, Pakistan (GRID:grid.444798.2) (ISNI:0000 0004 0607 5732) 
 Yildiz Technical University, Department of Mathematics, Faculty of Arts and Sciences, Istanbul, Turkey (GRID:grid.38575.3c) (ISNI:0000 0001 2337 3561) 
 Anand International College of Engineering, Department of Mathematics, Jaipur, India (GRID:grid.449434.a) (ISNI:0000 0004 1800 3365); Ajman University, Nonlinear Dynamics Research Center (NDRC), Ajman, UAE (GRID:grid.444470.7) (ISNI:0000 0000 8672 9927) 
 Hanyang University, Department of Mathematics, Research Institute of Natural Science, Seoul, South Korea (GRID:grid.49606.3d) (ISNI:0000 0001 1364 9317) 
Publication year
2021
Publication date
Dec 2021
Publisher
Springer Nature B.V.
ISSN
1687-1839
e-ISSN
1687-1847
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2583222720
Copyright
© The Author(s) 2021. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.