The Characteristic Polynomial Database should be accessed through the Bohemian Matrices website at BohemianMatrices.com/cpdb. Data has been removed from the ...

Abstract: In this paper, we propose new criterion for realizability of characteristic transfer-function matrices, which are the transfer-function matrices with the characteristic polynomial as their ...

Abstract: Conditions for the bivariate characteristic polynomial of a matrix to be very strict Hurwitz are presented. These conditions are based on the necessary and sufficient conditions for the ...

We introduce the concept of the almost-companion matrix (ACM) by relaxing the non-derogatory property of the standard companion matrix (CM). That is, we define an ACM as a matrix whose characteristic ...

This monthly journal, begun in 1950, is devoted entirely to research in pure and applied mathematics, principally to the publication of original papers of moderate length. A section called Shorter ...

The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong, China. For this problem, the paper will be divided into two parts. The first part will provide the ...