ABSTRACT
The book [148] contains what follows. A complex valued matrix function F (:) : C! Cpxn is real rational matrix
function if, and only if, it becomes a real valued matrix for the real value of the complex variable s, i.e., for s = 2 R, and every entry of F (s) is a quotient of two polynomials in s. Let F (s) have di¤erent poles denoted by sk, k = 1; 2; :::; . The multiplicity
of the pole sk is designated by k. We denote its real and imaginary part by Re sk and Im s
k, respectively.
