Conversions between barycentric, RKFUN, and Newton representations of rational interpolants

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Abstract

We derive explicit formulas for converting between rational interpolants in barycentric, rational Krylov (RKFUN), and Newton form. We show applications of these conversions when working with rational approximants produced by the AAA algorithm Y. Nakatsukasa et al. (2018) [6] within the Rational Krylov Toolbox and for the solution of nonlinear eigenvalue problems.

Bibliographical metadata

Original languageEnglish
JournalLinear Algebra and its Applications
Early online date24 Oct 2018
DOIs
Publication statusPublished - 2018