Linear algebra, rational approximation, and orthogonal polynomials
Title:
Linear algebra, rational approximation, and orthogonal polynomials
Author:
Bultheel, Adhemar.
ISBN:
9780444828729
Personal Author:
Publication Information:
Amsterdam ; New York : Elsevier, 1997.
Physical Description:
xvii, 446 p. : ill. ; 25 cm.
Series:
Studies in computational mathematics ; 6
Series Title:
Studies in computational mathematics ; 6
Abstract:
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.<P>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.<P>Features of this book:<P>• provides a unifying approach to linear algebra, rational approximation and orthogonal polynomials<P>• requires an elementary knowledge of calculus and linear algebra yet introduces advanced topics.<P>The book will be of interest to applied mathematicians and engineers and to students and researchers.
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Electronic Access:
ScienceDirect An electronic book accessible through the World Wide Web; click for informationPublisher description http://www.loc.gov/catdir/enhancements/fy0601/97040610-d.html