{"id":926,"date":"2023-04-24T21:57:08","date_gmt":"2023-04-24T18:57:08","guid":{"rendered":"https:\/\/mhfhijab.com\/?p=926"},"modified":"2023-04-24T21:57:09","modified_gmt":"2023-04-24T18:57:09","slug":"matrix-approach-to-solve-polynomial-equations","status":"publish","type":"post","link":"https:\/\/mhfhijab.com\/?p=926","title":{"rendered":"Matrix approach to solve polynomial equations"},"content":{"rendered":"\n

<\/p>\n\n\n\n

Publication Date: May, 202<\/em>3<\/em><\/p>\n\n\n\n

By: <\/em>Samir Brahim Belhaouari ; Mohamad Hassan Fadi Hijab ; Zarina Oflaz<\/p>\n\n\n

2023 publication<\/a>, <\/span>Journal Paper<\/a>, <\/span>Mathematics<\/a><\/div>\n\n\n
\n\n\n\n
\"\"
Results in Applied Mathematics<\/figcaption><\/figure>\n\n\n\n

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 \u2308 n\/2 \u2309 polynomials square.<\/p>\n\n\n\n

It follows that the complexity of factorizing a polynomial of degree 2n is equivalent
to that of a factorizing polynomial of degree 2n \u2212 1. The proposed method for solving
fourth-degree polynomials will be a valuable contribution to linear algebra due to its
simplicity compared to the current method. This work presents a unique approach to
solving polynomials of four or fewer degrees and presents new possibilities for tackling
larger degrees. Additionally, our methodology can also be used for educational purposes.<\/p>\n\n\n\n

\n\n\n\n

You can read the full text here<\/a><\/strong>.<\/p>\n\n\n\n

Citation:<\/strong>
Belhaouari, S. B., Hijab, M. H. F., & Oflaz, Z. (2023). Matrix approach to solve polynomial equations.\u00a0Results in Applied Mathematics<\/em>,\u00a018<\/em>, 100368.<\/p>\n","protected":false},"excerpt":{"rendered":"

Publication Date: May, 2023 By: Samir Brahim Belhaouari ; Mohamad Hassan Fadi Hijab ; Zarina Oflaz Polynomials are widely employed to represent numbers derived from mathematicaloperations in nearly all areas of mathematics. The ability to factor polynomials entirelyinto linear components allows for a wide range of problem simplifications. This paperpresents and demonstrates a novel, straightforward […]<\/p>\n","protected":false},"author":1,"featured_media":927,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[20],"tags":[30,22,31],"class_list":["post-926","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-publications","tag-2023-publication","tag-journal-paper","tag-mathematics"],"_links":{"self":[{"href":"https:\/\/mhfhijab.com\/index.php?rest_route=\/wp\/v2\/posts\/926","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mhfhijab.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mhfhijab.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mhfhijab.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mhfhijab.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=926"}],"version-history":[{"count":1,"href":"https:\/\/mhfhijab.com\/index.php?rest_route=\/wp\/v2\/posts\/926\/revisions"}],"predecessor-version":[{"id":928,"href":"https:\/\/mhfhijab.com\/index.php?rest_route=\/wp\/v2\/posts\/926\/revisions\/928"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mhfhijab.com\/index.php?rest_route=\/wp\/v2\/media\/927"}],"wp:attachment":[{"href":"https:\/\/mhfhijab.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=926"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mhfhijab.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=926"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mhfhijab.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=926"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}