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 ...

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 ...

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 ...

Abstract: The method of synthesizing linear multichannel regulators for multichannel objects using matrix polynomial expansion, along with classical synthesis methods, such as synthesis in the state ...