Bounds for the multiplicities of the roots for some classes of complex polynomials

Anca Iuliana Bonciocat, Nicolae Ciprian Bonciocat, Alexandru Zaharescu

Type: Article

Publication Date: 2006-01-01

Citations: 2

DOI: https://doi.org/10.7153/mia-09-02

Abstract

We use some of Ostrowski's conditions for nonvanishing of determinants in order to provide explicit upper bounds for the multiplicities of the roots for some classes of complex polynomials.In particular, some simple separability criteria are obtained.We finally provide bounds for the multiplicities of the roots for some classes of integral polynomials, in terms of the prime decomposition of their coefficients.

Locations

Mathematical Inequalities & Applications - View - PDF

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Works Cited by This (6)

Action	Title	Year	Authors
+	A Recurring Theorem on Determinants	1949	Olga Taussky
+ PDF Chat	On some conditions for nonvanishing of determinants	1961	Alexander Ostrowski
+	�ber die determinanten mit �berwiegender Hauptdiagonale	1937	Alexander Ostrowski
+	On some properties of singular matrices	1983	Gong-Ning Chen
+ PDF Chat	Ueber das Nichtverschwinden einer Klasse von Determinanten und die Lokalisierung der charakteristischen Wurzeln von Matrizen	1983	Alexander Ostrowski
+	A Recurring Theorem on Determinants	1949	Olga Taussky