Titlebook: Rational Approximation in Systems Engineering; Adhemar Bultheel,Patrick Dewilde Book 1983 Springer Science+Business Media New York 1983 ap

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GULLY

Editorial,tholic University of Leuven in August 1981. The organizers of the workshop tried to bring a number of schools together, each school representing a different approach to rational approximations, with the hope that a convergence of the results would become apparent. With uncautious generalizations, th

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,Generalisations of Padé Approximants,lude multi-point approximants, approximants based upon differential equations, multivalued approximants, multivariate approximants, and approximants defined from series of orthogonal functions. The general class of Hermite-Padé approximants is discussed, and various applications are noted.

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Stieltjes Series and Soliton Interaction, associated with a soliton. The well-known asymptotic emergence of the separate solitons follows at once from the motion of the poles. Successive . Padé approximants to the .-soliton series are considered to show how the solitons are reconstructed from an increasing number of perturbation terms .. T

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Moment Problems and Low Rank Toeplitz Approximations,tain model approximation problems. Such a theory is developed in this paper and it is shown how these moment parameterizations can make approximating by low rank Toeplitz matrices tractable. In the case of Toeplitz forms, this moment representation gives a simple solution to the extendibility proble

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A Remark on the Numerics of Rational Approximation and the Rate of Convergence of Equally Spaced Inection to the generalized eigenvalue problem for symmetric Hankel matrices. By a classical example and some recent work it can be shown that interpolation with rational functions (even) on equidistant knots may lead to results that are superior to Chebyshev approximation by means of polynomials for

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Contractive Intertwining Dilations and Norm Approximation Techniques,to describe the general solution of the Carathéodory-Fejér extrapolation problem. This turns out to be useful for some numerical problems such as: computation of the norm of an analytic Toeplitz matrix, an algorithm for detecting reflection coefficients in seismic exploration, and a model for contro

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