Abstract: A connection between Padé approximants and characteristic polynomial of a matrix with complex, in general, elements is established. A system of homogeneous, first-order ordinary differential ...

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 ...

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 ...

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 ...

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 ...

Department of Mathematics, University of Patras, Patras, Greece. Department of Physics, University of Patras, Patras, Greece. A code for “counting and computing the eigenvalues of a complex ...

ABSTRACT: Let A be the linear transformation on the linear space V in the field P, V λ i be the root subspace corresponding to the characteristic polynomial of the eigenvalue λ i , and W λ i be the ...