The Rational Interpolation Problem: Grassmannian and Loewner-Matrix Approaches

Joseph A. Ball () and Vladimir Bolotnikov ()
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Joseph A. Ball: Virginia Tech, Department of Mathematics
Vladimir Bolotnikov: William & Mary, Department of Mathematics

A chapter in Realization and Model Reduction of Dynamical Systems, 2022, pp 3-21 from Springer

Abstract: Abstract We review the Grassmannian approach to rational interpolation theory and indicate points of contact and divergence with the Loewner-matrix approach. We also provide an introduction to some recent work on free noncommutative function theory, in particular noncommutative rational functions, where some results paralleling the classical single-variable case have been obtained but where many other basic issues remain to be resolved.

Keywords: Rational interpolation; Loewner framework; Grassmannian; Noncommutative rational functions (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-95157-3_1

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DOI: 10.1007/978-3-030-95157-3_1

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