Matrix approach to solve polynomial equations

<p dir="ltr">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 dem...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Samir Brahim Belhaouari (9427347) (author)
مؤلفون آخرون: Mohamad Hassan Fadi Hijab (17862620) (author), Zarina Oflaz (14609956) (author)
منشور في: 2023
الموضوعات:
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الوصف
الملخص:<p dir="ltr">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.</p><h2>Other Information</h2><p dir="ltr">Published in: Results in Applied Mathematics<br>License: <a href="http://creativecommons.org/licenses/by/4.0/" target="_blank">http://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1016/j.rinam.2023.100368" target="_blank">https://dx.doi.org/10.1016/j.rinam.2023.100368</a></p>