Numerical Algorithms

, Volume 49, Issue 1, pp 169–185

Spectral transformations of measures supported on the unit circle and the Szegő transformation

  • Luis Garza
  • Javier Hernández
  • Francisco Marcellán
Original Paper

DOI: 10.1007/s11075-008-9156-0

Cite this article as:
Garza, L., Hernández, J. & Marcellán, F. Numer Algor (2008) 49: 169. doi:10.1007/s11075-008-9156-0

Abstract

In this paper we analyze spectral transformations of measures supported on the unit circle with real moments. The connection with spectral transformations of measures supported on the interval [−1,1] using the Szegő transformation is presented. Some numerical examples are studied.

Keywords

Measures on the unit circleOrthogonal polynomialsCarathéodory functionsSpectral transformationsLU factorization

Mathematics Subject Classifications (2000)

42C0515A23

Copyright information

© Springer Science+Business Media, LLC. 2008

Authors and Affiliations

  • Luis Garza
    • 1
    • 2
  • Javier Hernández
    • 3
  • Francisco Marcellán
    • 1
  1. 1.Universidad Carlos III de MadridLeganés, MadridSpain
  2. 2.Universidad Autónoma de TamaulipasCiudad VictoriaMexico
  3. 3.Universidad Centroccidental Lisandro AlvaradoBarquisimetoVenezuela