Abstract
In this paper we obtain a new linear fractional parametrization for the set of all positive semi-definite completions of a generalized banded partial operator matrix. As applications we obtain a cascade transform parametrization for the set of all contractive completions of a triangular partial operator matrix satisfying possibly an extra linear constraint (thus extending the results on the Strong Parrott problem). In each of the problems also a maximum entropy principle appears.
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© 1992 Springer Basel AG
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Bakonyi, M., Woerdeman, H.J. (1992). The Central Method for Positive Semi-Definite, Contractive and Strong Parrott Type Completion Problems. In: Ando, T., Gohberg, I. (eds) Operator Theory and Complex Analysis. Operator Theory: Advances and Applications, vol 59. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8606-2_4
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DOI: https://doi.org/10.1007/978-3-0348-8606-2_4
Publisher Name: Birkhäuser, Basel
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