IEEE

On the realizability criterion for transfer function matrices with characteristic polynomial

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 ...
JSTOR Daily

ON THE CHARACTERISTIC POLYNOMIAL OF THE GROSS REGULATOR MATRIX

We present a conjectural formula for the principal minors and the characteristic polynomial of Gross’s regulator matrix associated to a totally odd character of a totally real field. The formula is ...
IEEE

Conditions for the 2-D characteristic polynomial of a matrix to be very strict Hurwitz

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 ...
Europe PMC

Hermitian and Unitary Almost-Companion Matrices of Polynomials on Demand.

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 ...
JSTOR Daily

A Simple Proof of the Leverrier-Faddeev Characteristic Polynomial Algorithm

A simple formula is established that relates the trace of the resolvent with the characteristic polynomial of a matrix. This will lead to a novel and elegant proof of the recursive relations that ...
Scientific Research Publishing

The Study of Root Subspace Decomposition between Characteristic Polynomials and Minimum Polynomial ()

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 ...