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 ...

Abstract: the principle of subordinate regulation is a common control method for control objects with several series connected loops. The feature is sequential calculations of regulators, forming ...

Abstract: In this paper, we present a new, necessary and sufficient condition for Hurwitz stability of real matrix, using qualitative (based solely on sign pattern of the matrix) reasoning. This new ...

The second path matrix S(G) collects all the second paths in the graph G. Its characteristic polynomial shows some regularity in several particular graphs, such as paths, cycles, stars and complete ...

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 ...