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math.NA2012★ 2 cited
Implementation of Pellet's theorem
Aaron Melman
Pellet's theorem determines when the zeros of a polynomial can be separated into two regions, based on the presence or absence of positive roots of an auxiliary polynomial, but doe…
math.NA2012
Generalization and variations of Pellet's theorem for matrix polynomials
Aaron Melman
We derive a generalized matrix version of Pellet's theorem, itself based on a generalized Rouché theorem for matrix-valued functions, to generate upper, lower, and internal bounds…