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The Quadratic Numerical Range and the Location of Zeros of Polynomials

✍ Scribed by Linden, Hansjörg

Book ID: 118216042
Publisher: Society for Industrial and Applied Mathematics
Year: 2003
Tongue: English
Weight: 197 KB
Volume: 25
Category: Article
ISSN: 0895-4798
DOI: 10.1137/s0895479802411651

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The classical Enestöm-Kekeya Theorem states that a polynomial \(p(z)=\) \(\sum_{i=0}^{n} a_{i} z^{\prime}\) satisfying \(0<a_{0} \leq a_{1} \leq \cdots \leq a_{n}\) has all its zeros in \(|z| \leq 1\). We extend this result to a larger class of polynomials by dropping the conditions that the coeffic