Barycentric rational interpolation with no poles and high rates of approximation

By Michael S. Floater, Kai Hormann. Numerische Mathematik, 2007

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The Generalized Empirical Interpolation Method: Stability theory on Hilbert spaces with an application to the Stokes equation (2015, background): “Although several procedures have been explored in this direction (we refer to [4], [5] and also to the kriging studies in the stochastic community such as [6]), of particular interest for the present work is the Empirical Interpolation Method (EIM, [2], [7], [8]) that has been developed in the broad”
The AAA Algorithm for Rational Approximation (2016, methodology): “Barycentric representations of rational functions originated in the numerical analysis community with Salzer [51] and Schneider and Werner [53] and were developed especially by Berrut and his students and colleagues, including Floater and Hormann [12, 13, 14, 15, 27, 44].”
Linear barycentric rational quadrature (2012, methodology): “Before we state the next lemma, we recall from [14] that the reciprocal of the denominator Λn(x) may be rewritten as”