Problems and progress in vector Padé approximation

DOI10.1016/S0377-0427(96)00127-6zbMath0951.65011MaRDI QIDQ674427

D. E. Roberts, Peter R. Graves-Morris

Publication date: 19 December 2000

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

zbMATH Keywords

convergenceconvergence accelerationrational interpolationcontinued fractionsClifford algebraPfaffianBerlekamp-Massey algorithmvector epsilon algorithmClifford inversede Montessus theoremvector Padé approximationvector-valued power series

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05) Padé approximation (41A21) Numerical interpolation (65D05) Multidimensional problems (41A63) Convergence and divergence of continued fractions (40A15)

Related Items (9)

Partial-skew-orthogonal polynomials and related integrable lattices with Pfaffian tau-functions ⋮ Hermite-Padé approximations with Pfaffian structures: Novikov peakon equation and integrable lattices ⋮ A vector generalisation of de Montessus' theorem for the case of polar singularities on the boundary ⋮ Similarities of the integral Padé approximants. II ⋮ Solution of integral equations using Padé type approximants ⋮ On a representation of vector continued fractions ⋮ The epsilon algorithm and related topics ⋮ Similarities of the integral Padé approximants ⋮ Introduction to the improved functional epsilon algorithm

Cites Work

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• The compass (star) identity for vector-valued rational interpolants
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• Vector-valued, rational interpolants. III
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• A note on the \(\epsilon\)-algorithm
• Upon some continuous prediction algorithms. I
• Continued fractions whose coefficients obey a non-commutative law of multiplication
• Acceleration Techniques for Iterated Vector and Matrix Problems
• Implementation of the Topological $\varepsilon $-Algorithm
• Clifford algebras and vector-valued rational forms. I
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
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