Linear Algebra, Rational Approximation and Orthogonal Polynomials (STUDIES IN COMPUTATIONAL MATHEMATICS)

Bultheel, Adhemar; Barel, Marc Van

ISBN 10: 0444828729 / ISBN 13: 9780444828729

Published by North-Holland, 1997

About this Item

Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher.

Seller Inventory # 41818316/202

Bibliographic Details

• Title: Linear Algebra, Rational Approximation and Orthogonal Polynomials (STUDIES IN COMPUTATIONAL MATHEMATICS)
• Publisher: North-Holland
• Publication Date: 1997
• Language: English
• ISBN 10: 0444828729
• ISBN 13: 9780444828729
• Binding: Hardcover
• Condition: Sehr gut
• Seller catalogs:
  • Bücher

About this title

Synopsis

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.

Review

V. Mehrmann
...This book will be a major reference book for people working in these areas and also mark a starting point for future research.
Newsletter on Computational Applied Mathematics, Vol.16, No.1
...An important addition to the literature...I recommend it to anyone who is interested not only in approximation theory but in tts applications in engineering and computer science.
Journal of Approximation Theory