“Wrong” side interpolation by positive real rational functions

Daniel Alpay, Izchak Lewkowicz

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

Using polynomial interpolation, along with structural properties of the family of rational positive real 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 R2m+3 of a large subset of these interpolating functions.

Original languageEnglish
Pages (from-to)175-197
Number of pages23
JournalLinear Algebra and Its Applications
Volume539
DOIs
StatePublished - 15 Feb 2018

Keywords

  • Convex invertible cones
  • Interpolation
  • Nevanlinna–Pick interpolation
  • Positive real rational functions

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Numerical Analysis
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics

Fingerprint

Dive into the research topics of '“Wrong” side interpolation by positive real rational functions'. Together they form a unique fingerprint.

Cite this