Conversions between barycentric, RKFUN, and Newton representations of rational interpolants
arXiv:1711.0070719 citationsh-index: 26
AI Analysis
Provides practical conversion tools for researchers working with rational approximations, but the contribution is incremental.
The paper derives explicit conversion formulas between barycentric, RKFUN, and Newton representations of rational interpolants, demonstrating applications in AAA algorithm output and nonlinear eigenvalue problems.
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.