Paramount Matrices and Synthesis of Resistive N-Ports

A method of reducing the main diagonal elements of a paramount matrix and its inverse without destroying their paramount character is described. It is shown that in not more than
2n
steps the irreducible remainder of a given matrix can be found. Also, the conditions are formulated for a paramount matrix with nonpositive off-diagonal eliements to be the impedance matrix of an
n
-port network with the minimum number of independent circuits.