2 citations · 3 across the 6 of their papers we have counts for
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math.CV2017
A unifying framework for generalizations of the Enestrom-Kakeya theorem
Aaron Melman
The classical Enestrom-Kakeya theorem establishes upper and lower bounds on the zeros of a polynomial with positive coefficients that are explicit functions of those coefficients.…
math.CA2017
Improved Cauchy radius for scalar and matrix polynomials
A. Melman
We improve the Cauchy radius of both scalar and matrix polynomials, which is an upper bound on the moduli of the zeros and eigenvalues, respectively, by using appropriate polynomia…
math.RA2017★ 1 cited
Polynomial eigenvalue bounds from companion forms
Aaron Melman
We show how -ifications, which are companion forms of matrix polynomials, namely, lower order matrix polynomials with the same eigenvalues as a given complex square matrix po…