Operator Theory: Advances and Applications

Laurent Series and their Padé Approximations

Authors: Bultheel, Adhemar

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About this book

The Pade approximation problem is, roughly speaking, the local approximation of analytic or meromorphic functions by rational ones. It is known to be important to solve a large scale of problems in numerical analysis, linear system theory, stochastics and other fields. There exists a vast literature on the classical Pade problem. However, these papers mostly treat the problem for functions analytic at 0 or, in a purely algebraic sense, they treat the approximation of formal power series. For certain problems however, the Pade approximation problem for formal Laurent series, rather than for formal power series seems to be a more natural basis. In this monograph, the problem of Laurent-Pade approximation is central. In this problem a ratio of two Laurent polynomials in sought which approximates the two directions of the Laurent series simultaneously. As a side result the two-point Pade approximation problem can be solved. In that case, two series are approximated, one is a power series in z and the other is a power series in z-l. So we can approximate two, not necessarily different functions one at zero and the other at infinity.

Table of contents (18 chapters)

Table of contents (18 chapters)

Buy this book

eBook $74.99
price for USA in USD (gross)
  • ISBN 978-3-0348-9306-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA in USD
  • ISBN 978-3-7643-1940-3
  • Free shipping for individuals worldwide
  • This title is currently reprinting. You can pre-order your copy now.
Softcover $99.00
price for USA in USD
  • ISBN 978-3-0348-9988-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Laurent Series and their Padé Approximations
Authors
Series Title
Operator Theory: Advances and Applications
Series Volume
27
Copyright
1987
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel AG
eBook ISBN
978-3-0348-9306-0
DOI
10.1007/978-3-0348-9306-0
Hardcover ISBN
978-3-7643-1940-3
Softcover ISBN
978-3-0348-9988-8
Series ISSN
0255-0156
Edition Number
1
Number of Pages
XI, 276
Topics