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Bounds and majorization relations for the critical points of polynomials
Authors:Mohammad Adm  Fuad Kittaneh
Affiliation:1. Department of Mathematics and Computer Science, Palestine Polytechnic University, Hebron, Palestine;2. Department of Mathematics, University of Jordan, Amman, Jordan
Abstract:We apply several matrix inequalities to the derivative companion matrices of complex polynomials to establish new bounds and majorization relations for the critical points of these polynomials in terms of their zeros.
Keywords:
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