Abstract
In this chapter we extend the theory developed in Chapter 4 for the case of rational matrix functions which may have zeros and poles at infinity. This requires a more general realization theory and allows one to solve less restrictive interpolation problems of constructing a rational matrix function with a given null and pole structure. The special case of matrix polynomials, which may be considered as rational matrix functions with only pole at infinity, is also discussed from the point of view of the general theory. As in Chapter 4 we will restrict ourselves to standard problems only which are here also matricially homogeneous.
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Notes for Part I
I. Gohberg and M.A. Kaashoek [ 1988 ], Regular rational matrix functions with prescribed pole and zero structure, in Operator Theory: Advances and Applications, OT 33, Birkhäuser-Verlag, Basel, pp. 109–122.
J.A. Ball, N. Cohen and A.C.M. Ran [ 1988 ], Inverse spectral problems for regular improper rational matrix functions, in Operator Theory: Advances and Applications, OT 33, Birkhäuser-Verlag, Basel, pp. 123–173.
J.A. Ball, N. Cohen and A.C.M. Ran [ 1988 ], Inverse spectral problems for regular improper rational matrix functions, in Operator Theory: Advances and Applications, OT 33, Birkhäuser-Verlag, Basel, pp. 123–173.
J.A. Ball, N. Cohen and A.C.M. Ran [ 1988 ], Inverse spectral problems for regular improper rational matrix functions, in Operator Theory: Advances and Applications, OT 33, Birkhäuser-Verlag, Basel, pp. 123–173.
J.A. Ball, I. Gohberg and L. Rodman [1989a], Two-sided Nudeluran interpolation problem for rational matrix functions, in Collection dedicated to M. Cotlar on occasion of his 75th birthday, Marcel-Dekker, in press.
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© 1990 Springer Basel AG
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Ball, J.A., Gohberg, I., Rodman, L. (1990). Rational Matrix Functions with Null and Pole Structure at Infinity. In: Interpolation of Rational Matrix Functions. Operator Theory: Advances and Applications, vol 45. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7709-1_6
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DOI: https://doi.org/10.1007/978-3-0348-7709-1_6
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-7711-4
Online ISBN: 978-3-0348-7709-1
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