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# Two-sided Nudelman Interpolation Problem for Rational Matrix Functions

DOI link for Two-sided Nudelman Interpolation Problem for Rational Matrix Functions

Two-sided Nudelman Interpolation Problem for Rational Matrix Functions book

# Two-sided Nudelman Interpolation Problem for Rational Matrix Functions

DOI link for Two-sided Nudelman Interpolation Problem for Rational Matrix Functions

Two-sided Nudelman Interpolation Problem for Rational Matrix Functions book

## ABSTRACT

In this paper we solve explicitly a very general bitangential Nevanlinna-Pick interpolation problem for rational matrix functions by using exclusively finite dimensional linear algebra techniques. The main tool for converting problems concerning rational matrix functions to linear algebra problems is the idea from systems theory of expressing a given rational matrix function in terms of four matrices A, B, C, D as the transfer function of a linear system. The interpolation conditions themselves can be expressed in terms of these data. In this format interpolation problems involving high order derivatives are handled with the same ease as the simple multiplicity case.