Elsworth, Steven and Güttel, Stefan (2017) Conversions between barycentric, RKFUN, and Newton representations of rational interpolants. Linear Algebra and its Applications (2017.40). ISSN 00243795 (In Press)
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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. Sete, L. N. Trefethen, SIAM J. Sci. Comput. 40(3), 2018] within the Rational Krylov Toolbox and for the solution of nonlinear eigenvalue problems.
Item Type:  Article 

Subjects:  MSC 2010, the AMS's Mathematics Subject Classification > 65 Numerical analysis 
Depositing User:  Stefan Güttel 
Date Deposited:  04 Oct 2018 10:49 
Last Modified:  04 Oct 2018 10:49 
URI:  https://eprints.maths.manchester.ac.uk/id/eprint/2665 
Available Versions of this Item

Conversions between barycentric, RKFUN, and Newton representations of rational interpolants. (deposited 02 Nov 2017 13:15)

Conversions between barycentric, RKFUN, and Newton representations of rational interpolants. (deposited 03 Nov 2017 14:15)

Conversions between barycentric, RKFUN, and Newton representations of rational interpolants. (deposited 22 Nov 2017 20:56)

Conversions between barycentric, RKFUN, and Newton representations of rational interpolants. (deposited 28 Mar 2018 23:59)
 Conversions between barycentric, RKFUN, and Newton representations of rational interpolants. (deposited 04 Oct 2018 10:49) [Currently Displayed]

Conversions between barycentric, RKFUN, and Newton representations of rational interpolants. (deposited 28 Mar 2018 23:59)

Conversions between barycentric, RKFUN, and Newton representations of rational interpolants. (deposited 22 Nov 2017 20:56)

Conversions between barycentric, RKFUN, and Newton representations of rational interpolants. (deposited 03 Nov 2017 14:15)
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