Multivariate reciprocal differences for branched Thiele continued fraction expansions

DOI10.1016/0377-0427(88)90264-6zbMath0638.65014OpenAlexW1973586116MaRDI QIDQ1099578

Annie A. M. Cuyt, Brigitte M. Verdonk

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0377-0427(88)90264-6

zbMATH Keywords

multivariate functionbranched continued fraction expansionmultivariate inverse differencemultivariate reciprocal differencesThiele interpolating branched continued fractionsViscovatov-like algorithm

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05) Algorithms for approximation of functions (65D15) Convergence and divergence of continued fractions (40A15)

Related Items (7)

A new algorithm to approximate bivariate matrix function via Newton-Thiele type formula ⋮ A review of branched continued fraction theory for the construction of multivariate rational approximants ⋮ On the linearization methods for univariate Birkhoff rational interpolation ⋮ Vector valued rational interpolants over triangular grids. ⋮ A new approach to general interpolation formulae for bivariate interpolation ⋮ On branched continued fractions rational interpolation over pyramid-typed grids ⋮ How well can the concept of Padé approximant be generalized to the multivariate case?

Cites Work

• Multivariate rational interpolation
• Thiele-type branched continued fractions for two-variable functions
• A review of multivariate Padé approximation theory
• A review of branched continued fraction theory for the construction of multivariate rational approximants
• Automatic differentiation: techniques and applications
• A two-variable generalization of the Stieltjes-type continued fraction
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Multivariate reciprocal differences for branched Thiele continued fraction expansions