The paper generalizes the Eneström-Kakeya theorem to matrix polynomials, giving several eigenvalue location bounds under norm and positive-semidefinite ordering conditions.
Enestr¨ om, Remarque sur un th´ eor´ em´ e relatif aux racines de I’equationanzn + an−1zn−1 + · · ·+ a1z + a0 = 0 o´ u tous les coefficients sont re´ els et positifs, Tˆ ohoku Math
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Generalizations of Enestrom-Kakeya Type Theorems for matrix Polynomials
The paper generalizes the Eneström-Kakeya theorem to matrix polynomials, giving several eigenvalue location bounds under norm and positive-semidefinite ordering conditions.