About the geometrical properties of the root condition for the third order polynomials

This paper deals with a root condition for polynomial of the second and third order. We prove the root criterion for such polynomial with complex coefficients and find regions for the root condition in the special coefficients' phase space.

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Main Author: Artūras Štikonas
Format: Article
Language:English
Published: Vilnius University Press 1999-12-01
Series:Lietuvos Matematikos Rinkinys
Online Access:https://www.zurnalai.vu.lt/LMR/article/view/35689
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author Artūras Štikonas
author_facet Artūras Štikonas
author_sort Artūras Štikonas
collection DOAJ
description This paper deals with a root condition for polynomial of the second and third order. We prove the root criterion for such polynomial with complex coefficients and find regions for the root condition in the special coefficients' phase space.
format Article
id doaj-art-77a0584bc9bf4ef98b781be139a6cf56
institution Kabale University
issn 0132-2818
2335-898X
language English
publishDate 1999-12-01
publisher Vilnius University Press
record_format Article
series Lietuvos Matematikos Rinkinys
spelling doaj-art-77a0584bc9bf4ef98b781be139a6cf562025-02-11T18:15:12ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X1999-12-0139III10.15388/LMD.1999.35689About the geometrical properties of the root condition for the third order polynomialsArtūras Štikonas0Institute of Mathematics and Informatics This paper deals with a root condition for polynomial of the second and third order. We prove the root criterion for such polynomial with complex coefficients and find regions for the root condition in the special coefficients' phase space. https://www.zurnalai.vu.lt/LMR/article/view/35689
spellingShingle Artūras Štikonas
About the geometrical properties of the root condition for the third order polynomials
Lietuvos Matematikos Rinkinys
title About the geometrical properties of the root condition for the third order polynomials
title_full About the geometrical properties of the root condition for the third order polynomials
title_fullStr About the geometrical properties of the root condition for the third order polynomials
title_full_unstemmed About the geometrical properties of the root condition for the third order polynomials
title_short About the geometrical properties of the root condition for the third order polynomials
title_sort about the geometrical properties of the root condition for the third order polynomials
url https://www.zurnalai.vu.lt/LMR/article/view/35689
work_keys_str_mv AT arturasstikonas aboutthegeometricalpropertiesoftherootconditionforthethirdorderpolynomials