International Series of Numerical Mathematics

Applications and Computation of Orthogonal Polynomials

Conference at the Mathematical Research Institute Oberwolfach, Germany March 22–28, 1998

Editors: Gautschi, Walter, Golub, Gene H., Opfer, Gerhard (Eds.)

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About this book

The workshop on Applications and Computation of Orthogonal Polynomials took place March 22-28, 1998 at the Oberwolfach Mathematical Research Institute. It was the first workshop on this topic ever held at Oberwolfach. There were 46 participants from 13 countries, more than half coming from Germany and the United States, and a substantial number from Italy. A total of 23 plenary lectures were presented and 4 short informal talks. Open problems were discussed during an evening session. This volume contains refereed versions of 18 papers presented at, or submitted to, the conference. The theory of orthogonal polynomials, as a branch of classical analysis, is well established. But orthogonal polynomials play also an important role in many areas of scientific computing, such as least squares fitting, numerical integration, and solving linear algebraic systems. Though the basic tenets have their roots in 19th­ century mathematics, the use of modern computers has required the development and study of new algorithms that are accurate and robust. The computational methods and applications represented in this volume, of necessity, are incomplete, yet sufficiently varied to convey an impression of current activities in this area.

Table of contents (18 chapters)

  • The Sensitivity of Least Squares Polynomial Approximation

    Beckermann, Bernhard (et al.)

    Pages 1-19

  • Transpose-Free Look-Ahead Algorithms for Lanczos’ Method

    Brezinski, Claude (et al.)

    Pages 21-40

  • Applications of Anti-Gauss Quadrature Rules in Linear Algebra

    Calvetti, Daniela (et al.)

    Pages 41-56

  • Stieltjes Polynomials and the Error of Gauss-Kronrod Quadrature Formulas

    Ehrich, Sven

    Pages 57-77

  • Fast Solution of Confluent Vandermonde-Like Linear Systems Using Polynomial Arithmetic

    Fischer, Hans-Jürgen

    Pages 79-92

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-3-0348-8685-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-3-7643-6137-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • ISBN 978-3-0348-9728-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Applications and Computation of Orthogonal Polynomials
Book Subtitle
Conference at the Mathematical Research Institute Oberwolfach, Germany March 22–28, 1998
Editors
  • Walter Gautschi
  • Gene H. Golub
  • Gerhard Opfer
Series Title
International Series of Numerical Mathematics
Series Volume
131
Copyright
1999
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel AG
eBook ISBN
978-3-0348-8685-7
DOI
10.1007/978-3-0348-8685-7
Hardcover ISBN
978-3-7643-6137-2
Softcover ISBN
978-3-0348-9728-0
Series ISSN
0373-3149
Edition Number
1
Number of Pages
XIII, 273
Topics