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

Lice692

,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.

ligature

HERE

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 comparable numerical work.

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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 controlling the errors in Wiener prediction.

审问

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Scattering Theory and Matrix Orthogonal Polynomials on the Real Line,x analog of the Jost function is introduced and its properties investigated. The matrix distribution function with respect to which the polynomials are orthonormal is constructed. The discrete matrix analog of the Marchenko equation is derived and used to obtain further results on the matrix Jost function and the distribution function.

Peristalsis

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Overview: 978-1-4899-6792-3978-1-4899-6790-9

华而不实

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