Recursive Evaluation of Padé Approximants for Matrix Sequences
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Publication:3214081
DOI10.1147/rd.164.0401zbMath0268.65029OpenAlexW2081443024MaRDI QIDQ3214081
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Publication date: 1972
Published in: IBM Journal of Research and Development (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1147/rd.164.0401
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical approximation and computational geometry (primarily algorithms) (65D99)
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A new application of the extended Euclidean algorithm for matrix Padé approximants ⋮ Subquadratic computation of vector generating polynomials and improvement of the block Wiedemann algorithm ⋮ Recursive formulation of the matrix Padé approximation in packed storage ⋮ Généralisations de la transformation de Shanks, de la table de Padé et de l'\(\varepsilon\)-algorithme ⋮ Markovian representation of stochastic processes and its application to the analysis of autoregressive moving average processes ⋮ A method of constructing minimal approximate realizations of linear input-output behavior ⋮ A recursive algorithm for matrix Padé approximants --- the divide-and- conquer approach ⋮ Partial realization of random systems ⋮ On the partial realization problem
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