Abstract: Matrix calculus [2], [7] is used to derive formulas for the derivatives of the coefficients of the characteristic polynomial with respect to any matrix of physical parameters. Two of these ...

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: 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 ...