Orthogonal polynomials and measures on the unit circle. The Geronimus transformations

L. Garza, J. Hernández, F. Marcellán*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)


In this paper we analyze a perturbation of a nontrivial positive measure supported on the unit circle. This perturbation is the inverse of the Christoffel transformation and is called the Geronimus transformation. We study the corresponding sequences of monic orthogonal polynomials as well as the connection between the associated Hessenberg matrices. Finally, we show an example of this kind of transformation.

Original languageEnglish
Pages (from-to)1220-1231
Number of pages12
JournalJournal of Computational and Applied Mathematics
Issue number5
Publication statusPublished - 1 Jan 2010
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics


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