Matrix moment perturbations and the inverse Szegö matrix transformation

Edinson Fuentes, Luis E. Garza*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


Given a perturbation of a matrix measure supported on the unit circle, we analyze the perturbation obtained on the corresponding matrix measure on the real line, when both measures are related through the Szegö matrix transformation. Moreover, using the connection formulas for the corresponding sequences of matrix orthogonal polynomials, we deduce several properties such as relations between the corresponding norms. We illustrate the obtained results with an example.

Original languageEnglish
Pages (from-to)573-593
Number of pages21
JournalRevista de la Union Matematica Argentina
Issue number2
Publication statusPublished - 2019
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2019, Union Matematica Argentina.

All Science Journal Classification (ASJC) codes

  • General Mathematics


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