ABSTRACT
In this chapter, we consider entire matrix-valued functions of a complex argument (entire matrix pencils). Bounds for the characteristic values are derived in terms of the Taylor coefficients. A matrix-valued function of a complex argument is called a meromorphic matrix function if its determinant is a meromorphic function. In the present chapter, we establish the multiplicative representation for a class of meromorphic matrix functions, namely, for the inverse entire matrix pencils.
