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Padé Approximations

  • Eli Chiprout
  • Michel S. Nakhla
Part of the The Springer International Series in Engineering and Computer Science book series (SECS, volume 252)

Abstract

The approximation that was given in (2.24) conforms to a particular type of approximation known as a Padé rational approximation[Bak75]. Padé approximations have long been a subject of interest in numerical analysis1. Although several forms of approximating functions exist, including polynomial and exponential approximations, Padé approximation employs a rational approximant. Padé approximations may not be always well-suited to general mathematical functions, but their applicability to network transfer functions is particularly appealing since these functions are in a rational form (as is a network transfer function), and the poles of the Padé approximant approach the poles of the system rather well.

Keywords

Truncation Error Dominant Pole Negative Real Axis Maclaurin Series Small Residue 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Eli Chiprout
    • 1
  • Michel S. Nakhla
    • 1
  1. 1.Carleton UniversityCanada

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