Titlebook: New Aspects in Interpolation and Completion Theories; I. Gohberg Book 1993 Springer Basel AG 1993 Interpolation.Operator theory.differenti

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C. Foias,A. E. Frazho,W. S. Li well as research in corpus linguistics since at least the development of the Brown corpus. With the shift towards Machine Learning in Artificial Intelligence (AI), the creation of datasets to be used for training and evaluating AI systems, also known in AI as corpora, has become a central activity

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Bitangential Interpolation for Input-Out Operators of Time-Varying Systems: The Discrete Time Case, of all solutions is described via a linear fractional representation and a formula for a particular solution is given. The time-varying generalization of the bitangential matricial Nevanlinna-Pick interpolation problem is also considered. A time-varying version of the state space method plays an important role.

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Two-Sided Tangential Interpolation of Real Rational Matrix Functions,plex coefficients. Other relevant problems are studied as well; one of them: decide (in terms of the interpolation data) if a given interpolation problem admits a real rational matrix functions interpolants. The basic methodology is rooted in the approach exposed in [.].

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,The Exact H2 Estimate for the Central H∞ Interpolant,explicit formulas for the central intertwining lifting and the outer factor of its corresponding defect operator are given. Some applications to a mixed H.-H. Carathéodory and four-block interpolation problems are also presented.

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Maximum Entropy and Joint Norm Bounds for Operator Extensions,The maximum entropy principle is applied to give a new proof of the Kaftal, Larson and Weiss joint operator norm/Hilbert-Schmidt norm theorem for operator extensions. Using this technique, new local bounds for the joint norm extension problem are obtained.