Bounds on the moduli of polynomial zeros |
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| Authors: | Matthias Dehmer Abbe Mowshowitz |
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| Institution: | a Institute for Bioinformatics and Translational Research, UMIT, Eduard Wallnoefer Zentrum 1, A-6060 Hall in Tyrol, Austria
b Department of Computer Science, The City College of New York (CUNY), 138th Street at Convent Avenue, New York, NY 10031, USA |
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| Abstract: | In this paper, we develop methods for establishing improved bounds on the moduli of the zeros of complex and real polynomials. Specific (lacunary) as well as arbitrary polynomials are considered. The methods are applied to specific polynomials by way of example. Finally, we evaluate the quality of some bounds numerically. |
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| Keywords: | Complex polynomials Complex zeros Real zeros Inequalities |
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