A new approach to the rational interpolation problem: The vector case

DOI10.1016/0377-0427(90)90056-6zbMath0729.41005OpenAlexW2017465742MaRDI QIDQ805947

Marc Van Barel, Adhemar Bultheel

Publication date: 1990

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(90)90056-6

zbMATH Keywords

recursive algorithmvector rational interpolation problem

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Interpolation in approximation theory (41A05)

Related Items (18)

Discrete linearized least-squares rational approximation on the unit circle ⋮ A look-ahead method for computing vector Padé-Hermite approximants ⋮ On a linear interpolation problem for \(n\)-dimensional vector polynomials ⋮ The computation of non-perfect Padé-Hermite approximants ⋮ Recursiveness in matrix rational interpolation problems ⋮ Abstract Interpolating Fraction of the Thiele Type ⋮ Schur complements of Bézoutians and the inversion of block Hankel and block Toeplitz matrices ⋮ A generalized minimal partial realization problem ⋮ Abstract interpolation by continued Thiele-type fractions ⋮ A general module theoretic framework for vector M-Padé and matrix rational interpolation ⋮ A new formal approach to the rational interpolation problem ⋮ A parallel algorithm for discrete least squares rational approximation ⋮ Inverse eigenvalue problems for extended Hessenberg and extended tridiagonal matrices ⋮ A note on Thiele \(n\)-fractions ⋮ A new approach to vector-valued rational interpolation ⋮ Orthonormal rational function vectors ⋮ Direct and inverse results for multipoint Hermite-Padé approximants ⋮ Matrix-valued continued fractions.

Cites Work

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• Continued fractions associated with the Newton-Padé table
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• Vector-valued Rational Interpolants II
• On the Scalar Rational Interpolation Problem
• Practical, Reliable, Rational Interpolation

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