From matrix to vector Padé approximants

DOI10.1016/0377-0427(92)00008-WzbMath0819.41015OpenAlexW2076333716MaRDI QIDQ1334859

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

Publication date: 26 September 1994

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(92)00008-w

zbMATH Keywords

rational approximationEuclidean algorithmmatrix Padé approximantCordellier's identitiesKronecker algorithmsKronecker's algorithmWynn's identity

Mathematics Subject Classification ID

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

Related Items

Non-commutative extrapolation algorithms ⋮ A review of Padé methods for the acceleration of convergence of a sequence of vectors ⋮ An algebraic approach to the vector \(\varepsilon\)-algorithm ⋮ Cayley's theorem and its application in the theory of vector Padé approximants ⋮ On the convergence of rows of vector Padé approximants ⋮ The genesis and early developments of Aitken's process, Shanks' transformation, the \(\varepsilon\)-algorithm, and related fixed point methods ⋮ Matrix Padé-type approximant and directional matrix Padé approximant in the inner product space. ⋮ Problems and progress in vector Padé approximation ⋮ A vector generalisation of de Montessus' theorem for the case of polar singularities on the boundary ⋮ Vector Padé-type approximants and vector Padé approximants ⋮ On a representation of vector continued fractions ⋮ The epsilon algorithm and related topics ⋮ Generalized inverse matrix Padé approximation on the basis of scalar products ⋮ Matrix-valued continued fractions.

Cites Work

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