"Wrong" Side Interpolation by Low Degree Positive Real rational Functions

Daniel Alpay, Izchak Lewkowicz

Research output: Working paper/PreprintPreprint

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Abstract

Using polynomial interpolation, along with structural properties of the family of positive real rational functions, we here show that a set of m nodes in the open left half of the complex plane, can always be mapped to anywhere in the complex plane by rational positive real functions whose degree is at most m. Moreover, we introduce an easy-to-find parametrization in $R^{2m+3}$ of a large subset of these interpolating functions.
Original languageEnglish GB
StatePublished - 20 Apr 2017

Keywords

  • math.OC
  • 26C15, 37F10, 46B70, 47N70, 94C05

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