“Wrong” Side Interpolation by Positive Real Rational Functions

Authors

Daniel Alpay, Chapman UniversityFollow
Izchak Lewkowicz, Ben Gurion University of the Negev

Document Type

Article

Publication Date

9-20-2017

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.

Comments

NOTICE: this is the author’s version of a work that was accepted for publication in Linear Algebra and its Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version will subsequently be published in Linear Algebra and its Applications,in 2017. DOI: 10.1016/j.laa.2017.09.016

The Creative Commons license below applies only to this version of the article.

Recommended Citation

D. Alpay, I. Lewkowicz, “Wrong” side interpolation by positive real rational functions, Linear Algebra Appl. (2017), http://dx.doi.org/10.1016/j.laa.2017.09.016

Peer Reviewed

1

Copyright

Elsevier

Creative Commons License

This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.