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The matricial Schur problem in both nondegenerate and degenerate cases

✍ Scribed by Bernd Fritzsche; Bernd Kirstein; Andreas Lasarow

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
375 KB
Volume
282
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

The principal object of this paper is to present a new approach simultaneously to both nondegenerate and degenerate cases of the matricial Schur problem. This approach is based on an analysis of the central matrixvalued Schur functions which was started in [24]–[26] and then continued in [27]. In the nondegenerate situation we will see that the parametrization of the solution set obtained here coincides with the well‐known formula of D. Z. Arov and M. G. Kreĭn for that case (see [1]). Furthermore, we give some characterizations of the situation that the matricial Schur problem has a unique solution (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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