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Matrix approach to solve polynomial equations

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submitted on 2024-01-31, 08:11 and posted on 2024-01-31, 08:58 authored by Samir Brahim Belhaouari, Mohamad Hassan Fadi Hijab, Zarina Oflaz

Polynomials are widely employed to represent numbers derived from mathematical operations in nearly all areas of mathematics. The ability to factor polynomials entirely into linear components allows for a wide range of problem simplifications. This paper presents and demonstrates a novel straightforward approach to solving polynomial problems by converting them to matrix equations. Each polynomial of degree n can be decomposed into a sum of degree ⌈n/2⌉ polynomials squared.

Other Information

Published in: Results in Applied Mathematics
License: http://creativecommons.org/licenses/by/4.0/
See article on publisher's website: https://dx.doi.org/10.1016/j.rinam.2023.100368

Funding

Open Access funding provided by the Qatar National Library.

History

Language

  • English

Publisher

Elsevier

Publication Year

  • 2023

License statement

This Item is licensed under the Creative Commons Attribution 4.0 International License.

Institution affiliated with

  • Hamad Bin Khalifa University
  • College of Science and Engineering - HBKU