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An Inequality About the Largest Roots of a Polynomial

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Applicable Algebra in Engineering, Communication and Computing Aims and scope

Abstract.

 We present an upper bound for the product of the k largest roots of a monic polynomial of degree n with complex coefficients. For that, we use the theory of compound matrices and the localization of the eigenvalues of matrices.

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  1. Département de Mathématiques, Faculté des Sciences, Université Abdou Moumouni, B.P. 10662, Niamey, Niger, , , , , , NE

    Ousmane Moussa

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  1. Ousmane Moussa
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Received: February 26, 1996; revised version: March 20, 1997

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Moussa, O. An Inequality About the Largest Roots of a Polynomial. AAECC 8, 497–504 (1997). https://doi.org/10.1007/s002000050087

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  • DOI: https://doi.org/10.1007/s002000050087

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