Singular rules for a multivariate quotient-difference algorithm

DOI10.1007/BF02149767zbMath0796.65003OpenAlexW2093077468MaRDI QIDQ1316074

Annie A. M. Cuyt, Hassane Allouche

Publication date: 10 April 1994

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

Full work available at URL: https://doi.org/10.1007/bf02149767

zbMATH Keywords

algorithmcontinued fractioninterpolation basis\(q-d\) algorithmmultivariate quotient-difference algorithmmultivariate rational approximation

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05) Approximation by rational functions (41A20) Numerical interpolation (65D05) Multidimensional problems (41A63) Convergence and divergence of continued fractions (40A15)

Related Items (2)

Model reduction of multidimensional linear shift-invariant recursive systems using Padé techniques ⋮ Detecting discontinuity points from spectral data with the quotient-difference (qd) algorithm

Cites Work

• Unnamed Item
• General order Newton-Padé approximants for multivariate functions
• A multivariate QD-like algorithm
• On the computation of non-normal Padé approximants
• On the structure of a table of multivariate rational interpolants
• Well-defined determinant representations for non-normal multivariate rational interpolants
• The Reverse Bordering Method
• A Recursive Computation Scheme for Multivariate Rational Interpolants

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