Abstract
In this paper we generalize for matrix valued functions a number of well known interpolation problems for scalar rational functions and obtain explicit formulas for the solutions. The realization approach toward the study of rational matrix functions from systems theory serves here as the main tool. The main results recently appeared in the literature; here we give a more systematic and transparent exposition based exclusively on analysis in finite dimensional spaces.
Research of the authors was partially supported by the (*) National Science Foundation and (**) Air Force Office of Scientific Research (Grant AF0SR-87-0287).
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Ball, J.A., Gohberg, I., Rodman, L. (1988). Realization and Interpolation of Rational Matrix Functions. In: Gohberg, I. (eds) Topics in Interpolation Theory of Rational Matrix-valued Functions. Operator Theory: Advances and Applications, vol 33. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5469-6_1
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DOI: https://doi.org/10.1007/978-3-0348-5469-6_1
Publisher Name: Birkhäuser, Basel
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