Back to Search Start Over

The numerical radius and bounds for zeros of a polynomial

Authors :
Yuri A. Alpin
Lina Yeh
Mao-Ting Chien
Source :
Proceedings of the American Mathematical Society. 131:725-730
Publication Year :
2002
Publisher :
American Mathematical Society (AMS), 2002.

Abstract

Let p(t) be a monic polynomial. We obtain two bounds for zeros of p(t) via the Perron root and the numerical radius of the companion matrix of the polynomial.

Subjects

Subjects :
Combinatorics
Stable polynomial
Alternating polynomial
Minimal polynomial (linear algebra)
Applied Mathematics
General Mathematics
Companion matrix
Astrophysics::Earth and Planetary Astrophysics
Monic polynomial
Characteristic polynomial
Wilkinson's polynomial
Mathematics
Matrix polynomial

Details

ISSN :
10886826 and 00029939
Volume :
131
Database :
OpenAIRE
Journal :
Proceedings of the American Mathematical Society
Accession number :
edsair.doi...........dc9171b23525332a2062ed661bc48da3
Full Text :
https://doi.org/10.1090/s0002-9939-02-06623-6
Full Text Access
View/download PDF

Tools

Authors Abstract Subjects Details