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Author: M.G. de Bruin
Publisher: Springer
ISBN: 3540386068
Category : Mathematics
Languages : en
Pages : 393
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Author: M.G. de Bruin
Publisher: Springer
ISBN: 3540386068
Category : Mathematics
Languages : en
Pages : 393
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Book Description
Author: E.B. Safe
Publisher: Elsevier
ISBN: 0323147771
Category : Mathematics
Languages : en
Pages : 506
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Book Description
Padé and Rational Approximation: Theory and Applications presents the proceedings of the Conference on Rational Approximation with Emphasis on Applications of Padé Approximants, held in Tampa, Florida on December 15-17, 1976. The contributors focus on the interplay of theory, computation, and physical applications. This book is composed of six parts encompassing 44 chapters. The introductory part discusses the general theory of orthogonal polynomials that is the mathematical basis of Padé approximants and related matters evaluation. This text also examines the connection between approximants on a stepline in the ordinary Padé table and certain continued fractions and the convergence of diagonal Padé approximants to a class of functions with an even number of branch points. The following parts deal with the special functions and continued fractions of Padé approximation and the theory of rational approximations. These parts also investigate the geometric convergence of Chebyshev rational approximation on the half line, the optimal approximation by "Almost Classical interpolation, and the incomplete polynomials approximation. The discussion then shifts to the physical applications and computations of the Padé approximants. The concluding part presents the applications of rational approximation to gun fire control and to the White Sands Missile Range Computer Facility. This part also provides a list of some open problems and conjectures concerning polynomials and rational functions. This book is of great benefit to mathematicians, physicists, and laboratory workers.
Author: L. Wuytack
Publisher:
ISBN: 9783662199978
Category :
Languages : en
Pages : 404
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Author: L. Wuytack
Publisher: Springer
ISBN: 3540385118
Category : Mathematics
Languages : en
Pages : 403
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Author: H. Werner
Publisher: Springer
ISBN: 3540389148
Category : Mathematics
Languages : en
Pages : 273
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Author: Jacek Gilewicz
Publisher: Springer
ISBN: 3540474129
Category : Mathematics
Languages : en
Pages : 362
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Author: A. Bultheel
Publisher: Birkhäuser
ISBN: 303489306X
Category : Science
Languages : en
Pages : 277
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Book Description
The Pade approximation problem is, roughly speaking, the local approximation of analytic or meromorphic functions by rational ones. It is known to be important to solve a large scale of problems in numerical analysis, linear system theory, stochastics and other fields. There exists a vast literature on the classical Pade problem. However, these papers mostly treat the problem for functions analytic at 0 or, in a purely algebraic sense, they treat the approximation of formal power series. For certain problems however, the Pade approximation problem for formal Laurent series, rather than for formal power series seems to be a more natural basis. In this monograph, the problem of Laurent-Pade approximation is central. In this problem a ratio of two Laurent polynomials in sought which approximates the two directions of the Laurent series simultaneously. As a side result the two-point Pade approximation problem can be solved. In that case, two series are approximated, one is a power series in z and the other is a power series in z-l. So we can approximate two, not necessarily different functions one at zero and the other at infinity.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 72
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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 64
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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 72
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