On branched continued fractions rational interpolation over pyramid-typed grids

DOI10.1007/s11075-009-9322-zzbMath1191.65009OpenAlexW2068854859MaRDI QIDQ970586

Ren-Hong Wang, Jiang Qian

Publication date: 19 May 2010

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-009-9322-z

zbMATH Keywords

rational interpolationthree-term recurrence relationpartial inverse differencebranched continued fractionpartial reciprocal difference

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Numerical interpolation (65D05) Convergence and divergence of continued fractions (40A15)

Related Items (3)

Scattered data interpolation based upon bivariate recursive polynomials ⋮ A Fitzpatrick algorithm for multivariate rational interpolation ⋮ Bivariate polynomial and continued fraction interpolation over ortho-triples

Cites Work

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• Multivariate reciprocal differences for branched Thiele continued fraction expansions
• A review of branched continued fraction theory for the construction of multivariate rational approximants
• Continued fractions with applications
• Some properties of two-dimensional continued fractions
• Newton-Thiele's rational interpolants
• On sufficient conditions for convergence of two-dimensional continued fractions
• Composite schemes for multivariate blending rational interpolation

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