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Bounds for the zeros of polynomials from matrix inequalities

✍ Scribed by F. Kittaneh


Publisher
Springer
Year
2003
Tongue
English
Weight
93 KB
Volume
81
Category
Article
ISSN
0003-889X

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On Some Bounds for Zeros of Norm-Bounded
✍ Osami Yamamoto πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 708 KB

We define a region \(H_{\alpha, f}\) in the complex number field, where \(\alpha\) is a complex number, \(f(x) \in K[x]\) and \(f(\alpha) \neq 0\). The region \(H_{\alpha, f}\) contains no zeros of \(f(x)\) and is relatively easy to analyze. We analyze the region with respect to \(K=\mathbb{R}\) and