Newton Interpolation in Fejer and Chebyshev Points

DOI10.2307/2008360zbMath0673.65004OpenAlexW4253817438MaRDI QIDQ3827462

Bernd Fischer, Lothar Reichel

Publication date: 1989

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2008360

zbMATH Keywords

analytic functionanalytic continuationChebyshev pointsNumerical examplesFejér pointscomplex approximationaccurate polynomial approximationvan der Corput's sequence

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Numerical interpolation (65D05) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Moment problems and interpolation problems in the complex plane (30E05)

Related Items

Interpolating discrete advection--diffusion propagators at Leja sequences ⋮ Incomplete partial fractions for parallel evaluation of rational matrix functions ⋮ On the denominator values and barycentric weights of rational interpolants ⋮ Linear Barycentric Rational Interpolation with Guaranteed Degree of Exactness ⋮ Newton interpolation at Leja points ⋮ A parallel method for fast and practical high-order Newton interpolation ⋮ Pseudo Leja sequences ⋮ Application of a modified FFT to product type integration ⋮ Chebyshev-Vandermonde Systems ⋮ Matrices for the direct determination of the barycentric weights of rational interpolation ⋮ Fast computation of divided differences and parallel Hermite interpolation ⋮ Leja, Fejér-Leja and \(\mathfrak{R}\)-Leja sequences for Richardson iteration ⋮ On Leja sequences: some results and applications ⋮ Newton interpolation using \(\Re \)-Leja sequences ⋮ Reliable determination of interpolating polynomials ⋮ The Fast Implementation of Higher Order Hermite--Fejér Interpolation