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

Elsworth, Steven and Güttel, Stefan (2017) Conversions between barycentric, RKFUN, and Newton representations of rational interpolants. [MIMS Preprint]

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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, O. Sète, L. N. Trefethen, arXiv preprint 1612.00337, 2016] within the Rational Krylov Toolbox and for the solution of nonlinear eigenvalue problems.

Item Type: MIMS Preprint
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 65 Numerical analysis
Depositing User: Stefan Güttel
Date Deposited: 22 Nov 2017 20:56
Last Modified: 22 Nov 2017 20:56
URI: http://eprints.maths.manchester.ac.uk/id/eprint/2602

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