Vector-valued Rational Interpolants II

DOI10.1093/imanum/4.2.209zbMath0558.41019OpenAlexW2081163126MaRDI QIDQ3223309

Peter R. Graves-Morris

Publication date: 1984

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/4.2.209

zbMATH Keywords

Kalman's problemGerman polynomial approximation problemmatrix valued datasimultaneous Padé approximation problemtotal confluence

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Padé approximation (41A21) Approximation by polynomials (41A10)

Related Items (18)

Non-commutative extrapolation algorithms ⋮ From matrix to vector Padé approximants ⋮ A review of Padé methods for the acceleration of convergence of a sequence of vectors ⋮ Multivariate generalized inverse vector-valued rational interpolants ⋮ Matrix Padé-type approximant and directional matrix Padé approximant in the inner product space. ⋮ A superfast algorithm for multi-dimensional Padé systems ⋮ On the theory and computation of nonperfect Padé-Hermite approximants ⋮ Inversion components of block Hankel-like matrices ⋮ A note on Thiele \(n\)-fractions ⋮ A new approach to vector-valued rational interpolation ⋮ A note on vector-valued rational interpolation ⋮ Convergence theorems for rows of differential and algebraic Hermite- Padé approximations ⋮ Vector Padé-type approximants and vector Padé approximants ⋮ The Fitzpatrick-Neville-type algorithm for multivariate vector-valued osculatory rational interpolation ⋮ Generalized inverse matrix Padé approximation on the basis of scalar products ⋮ A new approach to the rational interpolation problem: The vector case ⋮ Matrix-valued continued fractions. ⋮ The ε-algorithm and η-algorithm for generalized inverse rectangular matrix pade approximants

This page was built for publication: Vector-valued Rational Interpolants II