Overdetermined Strata for Degree 5 Hyperbolic Polynomials

被引：1

作者：

Hayssam, Ezzaldine ^{[1
]}

Houssam, Khalil ^{[2
]}

Mouhamad, Sarrage ^{[3
]}

Mouhamad, Hossein ^{[1
]}

机构：

[1] Univ Libanaise, Fac Sci 3, Dept Math, Baabda, Lebanon

[2] Inst Camille Jordan, F-69622 Villeurbanne, France

[3] Lab JA Dieudonn, Parc Valrose, F-06108 Nice 02, France

来源：

VIETNAM JOURNAL OF MATHEMATICS | 2015年 / 43卷 / 01期

关键词：

Hyperbolic polynomials; Gegenbauer polynomials; Overdetermined strata; Resultants;

D O I：

10.1007/s10013-014-0079-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we consider degree 5 hyperbolic polynomials (HPs) in one variable (i.e., real and with all roots real). We are interested in such HPs whose number of equalities between roots of the polynomial and its derivatives is greater or equal to 4. We give a new method, based on resultants and subresultants, to calculate the overdetermined strata for degree 5 hyperbolic polynomials.

引用

页码：139 / 150

页数：12