ENGLISH

Linear algebra, rational approximation, and orthogonal polynomials

By Adhemar Bultheel and Marc Van Barel (Eds.)

Book information

Publisher
Elsevier
Year
1997
ISBN
9780080535524, 9780444828729, 0444828729
LCC
QA242 .B88 1997
Open Library ID
OL693356M
Language
english
Format
DJVU
Filesize
2 MB (2008649 bytes)
Series
Studies in computational mathematics 6
Edition
1
Pages
1-446\462
Topic
Mathematics Algebra
Library
Kolxo3
DPI
300
Scanned
yes
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. Features of this book: • provides a unifying approach to linear algebra, rational approximation and orthogonal polynomials • requires an elementary knowledge of calculus and linear algebra yet introduces advanced topics. The book will be of interest to applied mathematicians and engineers and to students and researchers.

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