BIT Numerical Mathematics

, Volume 24, Issue 4, pp 647–655 | Cite as

An asymptotically orthonormal polynomial family

  • Lothar Reichel
Article

Abstract

Given a Jordan curve Г in the complex plane, we describe a polynomial family which is asymptotically orthonormal on Г. The polynomials have some similarities with the Faber polynomials but are simpler to compute with. Numerical examples are presented.

AMS (MOS) Subject Classifications

65E05 30E10 41A10 

Key Words

complex polynomial approximation 

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Copyright information

© BIT Foundations 1984

Authors and Affiliations

  • Lothar Reichel
    • 1
  1. 1.Forschungsinstitut für Mathematik, ETH-ZentrumZürichSwitzerland

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