Matrix Stieltjes Series and Network Models
Sukanta Basu, N.K. Bose · SIAM Journal on Mathematical Analysis · 1983
Simple proofs are given of the fact that Padé approximants of certain orders, to a symmetric matrix power series, are realizable as RC multiports, possibly containing ideal transformers. One proof technique uses the matrix continued fraction expansion while the other uses the theory of matrix Cauchy index. An important offshoot of the main result is the presentation of properties of a set of matrix polynomials, which are orthogonal over a real semi-infinite interval.