An alternative proof of Pellet's theorem for matrix polynomials

作者：Melman A^*

来源：Linear and Multilinear Algebra, 2018, 66(4): 785-791.

DOI：10.1080/03081087.2017.1322549

• Pellet's theorem
• Cauchy
• matrix polynomial
• matrix norm

We propose an alternative proof of Pellet's theorem for matrix polynomials that, unlike existing proofs, does not rely on Rouche's theorem. A similar proof is provided for the generalization to matrix polynomials of a result by Cauchy that can be considered as a limit case of Pellet's theorem.

• 出版日期2018