Matrices for the direct determination of the barycentric weights of rational interpolation

DOI10.1016/S0377-0427(96)00163-XzbMath0870.65006OpenAlexW2003368653MaRDI QIDQ676159

Jean-Paul Berrut, Hans D. Mittelmann

Publication date: 4 May 1997

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(96)00163-x

zbMATH Keywords

rational interpolationnumerical algorithmbarycentric formMeinguet representation matrix

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Spline approximation (41A15)

Related Items

Stable polefinding and rational least-squares fitting via eigenvalues ⋮ On the denominator values and barycentric weights of rational interpolants ⋮ Padé-type rational and barycentric interpolation ⋮ The barycentric weights of rational interpolation with prescribed poles ⋮ Rational Minimax Approximation via Adaptive Barycentric Representations ⋮ Combination of discrete technique on graded meshes with barycentric rational interpolation for solving a class of time-dependent partial integro-differential equations with weakly singular kernels ⋮ A Newton method for best uniform rational approximation ⋮ Linear barycentric rational quadrature ⋮ Comonotone and coconvex rational interpolation and approximation ⋮ Linear Barycentric Rational Interpolation with Guaranteed Degree of Exactness ⋮ Linear rational interpolation and its application in approximation and boundary value problems ⋮ Lebesgue constant using sinc points ⋮ A method for directly finding the denominator values of rational interpolants

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