An Iterative Scheme for Evaluating Simultaneous Roots of Nonlinear Problems with Applications

Monika Panwar; Sonia Bhalla; Ramandeep Behl; Alicia Cordero; Juan R. Torregrosa; Paula Triguero-Navarro

doi:10.20944/preprints202309.2167.v1

How to cite: Panwar, M.; Bhalla, S.; Behl, R.; Cordero, A.; Torregrosa, J.R.; Triguero-Navarro, P. An Iterative Scheme for Evaluating Simultaneous Roots of Nonlinear Problems with Applications. Preprints 2023, 2023092167. https://doi.org/10.20944/preprints202309.2167.v1 Panwar, M.; Bhalla, S.; Behl, R.; Cordero, A.; Torregrosa, J.R.; Triguero-Navarro, P. An Iterative Scheme for Evaluating Simultaneous Roots of Nonlinear Problems with Applications. Preprints 2023, 2023092167. https://doi.org/10.20944/preprints202309.2167.v1

Abstract

In this article, an iterative method of two step is proposed for finding all roots simultaneously of polynomial equations. The order of convergence of the proposed algorithm is 2m, by using any iterative scheme of order m. Numerical tests are performed to confirm the theoretical results and to compare the proposed scheme with existing methods for finding all roots simultaneously.

Keywords

Subject

Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

An Iterative Scheme for Evaluating Simultaneous Roots of Nonlinear Problems with Applications

Abstract

Keywords

Subject

Comments (0)