On a Christoffel Transformation for Matrix Measures Supported on the Unit Circle

H. Dueñas, E. Fuentes, L. E. Garza*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

Let σ be a Hermitian matrix measure supported on the unit circle. In this contribution, we study some algebraic and analytic properties of the orthogonal matrix polynomials associated with the Christoffel matrix transformation of σ defined by dσcm(z)=Wm(z)Hdσ(z)Wm(z),where Wm(z)=∏j=1m(zI-Aj) and Aj is a square matrix for j= 1 , … , m. Moreover, we study the relative asymptotics of the associated orthogonal matrix polynomials when σcm satisfies a matrix condition in the diagonal case. Some illustrative examples are considered.

Original languageEnglish
Pages (from-to)219-243
Number of pages25
JournalComputational Methods and Function Theory
Volume21
Issue number2
DOIs
Publication statusPublished - Jun 2021
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2020, Springer-Verlag GmbH Germany, part of Springer Nature.

All Science Journal Classification (ASJC) codes

  • Analysis
  • Computational Theory and Mathematics
  • Applied Mathematics

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