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Item Details
Title: LINEAR ALGEBRA, RATIONAL APPROXIMATION AND ORTHOGONAL POLYNOMIALS
By: A. Bultheel, Marc van Barel
Format: Hardback

List price: £106.00


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ISBN 10: 0444828729
ISBN 13: 9780444828729
Publisher: ELSEVIER SCIENCE & TECHNOLOGY
Pub. date: 17 November, 1997
Series: Studies in Computational Mathematics v.6
Pages: 464
Description: Evolving from an elementary discussion, this book develops the Euclidean algorithm into a powerful tool for dealing with general continued fractions, non-normal Pade tables, look-ahead algorithms for Hankel and Toeplitz matrices and for Krylov subspace methods.
Synopsis: Evolving from an elementary discussion, this book develops the Euclidean algorithm to a powerful tool to deal with general continued fractions, non-normal Pade tables, look-ahead algorithms for Hankel and Toeplitz matrices, and for Krylov subspace methods. It introduces the basics of fast algorithms for structured problems and shows how they deal with singular situations. Links are made with more applied subjects, such as linear system theory and signal processing, and with more advanced topics and recent results such as general bi-orthogonal polynomials, minimal Pade approximation, polynomial root location problems in the complex plane, very general rational interpolation problems, and the lifting scheme for wavelet transform computation. The text serves as a supplement to existing books on structured linear algebra problems, rational approximation and orthogonal polynomials.
Illustrations: bibliography, index
Publication: Netherlands
Imprint: North-Holland Publishing Co
Returns: Non-returnable
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