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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Bibliographic Details
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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Description
Summary: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.
ISSN:0132-2818
2335-898X