ENGLISH

Linear Algebra, Rational Approximation and Orthogonal Polynomials

By Bultheel A. , van Barel M.

Book information

Year
1997
Language
english
Format
PDF
Filesize
18 MB (18919517 bytes)
Pages
448\448
Topic
Mathematics Algebra
Library
mexmat
Time added
2009-07-20 03:45:11

Description

Evolving from an elementary discussion, this book develops the Euclidean algorithm to a very powerful tool to deal with general continued fractions, non-normal Padé 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 Padé 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.

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