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...
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| مؤلفون آخرون: | , |
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2023
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| _version_ | 1864513528437669888 |
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| author | Samir Brahim Belhaouari (9427347) |
| author2 | Mohamad Hassan Fadi Hijab (17862620) Zarina Oflaz (14609956) |
| author2_role | author author |
| author_facet | Samir Brahim Belhaouari (9427347) Mohamad Hassan Fadi Hijab (17862620) Zarina Oflaz (14609956) |
| author_role | author |
| dc.creator.none.fl_str_mv | Samir Brahim Belhaouari (9427347) Mohamad Hassan Fadi Hijab (17862620) Zarina Oflaz (14609956) |
| dc.date.none.fl_str_mv | 2023-05-01T00:00:00Z |
| dc.identifier.none.fl_str_mv | 10.1016/j.rinam.2023.100368 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/Matrix_approach_to_solve_polynomial_equations/25109297 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Mathematical sciences Applied mathematics Pure mathematics Polynomial factorization Cubic equations Matrix Polynomials Quadratic equations Quartic equations Eigenvalues and eigenvectors Matrix decomposition |
| dc.title.none.fl_str_mv | Matrix approach to solve polynomial equations |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <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> |
| eu_rights_str_mv | openAccess |
| id | Manara2_cd61aaccb3742b06a41fd7a1d66157fc |
| identifier_str_mv | 10.1016/j.rinam.2023.100368 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/25109297 |
| publishDate | 2023 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | Matrix approach to solve polynomial equationsSamir Brahim Belhaouari (9427347)Mohamad Hassan Fadi Hijab (17862620)Zarina Oflaz (14609956)Mathematical sciencesApplied mathematicsPure mathematicsPolynomial factorizationCubic equationsMatrixPolynomialsQuadratic equationsQuartic equationsEigenvalues and eigenvectorsMatrix decomposition<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>2023-05-01T00:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1016/j.rinam.2023.100368https://figshare.com/articles/journal_contribution/Matrix_approach_to_solve_polynomial_equations/25109297CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/251092972023-05-01T00:00:00Z |
| spellingShingle | Matrix approach to solve polynomial equations Samir Brahim Belhaouari (9427347) Mathematical sciences Applied mathematics Pure mathematics Polynomial factorization Cubic equations Matrix Polynomials Quadratic equations Quartic equations Eigenvalues and eigenvectors Matrix decomposition |
| status_str | publishedVersion |
| title | Matrix approach to solve polynomial equations |
| title_full | Matrix approach to solve polynomial equations |
| title_fullStr | Matrix approach to solve polynomial equations |
| title_full_unstemmed | Matrix approach to solve polynomial equations |
| title_short | Matrix approach to solve polynomial equations |
| title_sort | Matrix approach to solve polynomial equations |
| topic | Mathematical sciences Applied mathematics Pure mathematics Polynomial factorization Cubic equations Matrix Polynomials Quadratic equations Quartic equations Eigenvalues and eigenvectors Matrix decomposition |