Convex cones of generalized positive rational functions and the Nevanlinna-Pick interpolation

DOI10.1016/j.laa.2012.01.023zbMath1303.47019arXiv1010.0546OpenAlexW2962700598MaRDI QIDQ389663

Izchak Lewkowicz, Daniel Alpay

Publication date: 21 January 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.0546

zbMATH Keywords

Nevanlinna functionsNevanlinna-Pick interpolationCarathéodory functionsCauer classesconvex invertible cones of rational functionspositive real functions

Mathematics Subject Classification ID

Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Linear operator methods in interpolation, moment and extension problems (47A57) Real rational functions (26C15)

Related Items (6)

Passive linear continuous-time systems: characterization through structure ⋮ On pseudo-spectral factorization over the complex numbers and quaternions ⋮ On realization of left and right products of rational functions ⋮ The positive real lemma and construction of all realizations of generalized positive rational functions ⋮ On LTI output strictly negative-imaginary systems ⋮ Interpolation by polynomials with symmetries

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