On rlc network matrices

摘要

AbstractA generalization of the coefficient conditions which hold for an RLC network as well as of the paramount property obeyed by the matrix of a resistance network is derived. This result is a property of either the nodal or mesh matrices for either the admittances or impedances of a general RLC network. It states that ifPis any principal minor or such a matrix andQany other minor constructed from the same rows (columns) asPthenP, P + Q, P–Qare rational functions of the complex frequency variable which, before cancellation of common factors, have only non‐negative coefficie