Matrix moment perturbations and the inverse Szegö matrix transformation
- Edinson Fuentes,
- Luis E. Garza
- Universidad Nacional de Colombia,
- Universidad de Colima
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Article
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Citations
2
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FWCI
0.48
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2
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52
Abstract
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.
Publication Information
Output type
Research Output:
Contribution to journal
Article
Peer-reviewOriginal language
EnglishPages from-to (Number of pages)
Pages 573-593 (21 pages)Journal (Volume, Issue Number)
Revista de la Union Matematica Argentina (Volume 60, Issue 2)Publication milestones
- Published - 2019
Publication status
Published - 2019
ISSN
0041-6932Publication IDs
- Scopus: 85077333062
Funding Details
2010 Mathematics Subject Classification. 42C05, 33C47. Key words and phrases. Moment problem; Matrix moment perturbation; Matrix orthogonal polynomials; Inverse Szeg˝o matrix transformation. The work of the second author was partially supported by Dirección General de Investigación Científica y Técnica, Ministerio de Economía y Competitividad of Spain, under grant MTM2015-65888-C4-2-P and by México’s Consejo Nacional de Ciencia y Tecnología (Conacyt) grant 287523.
The work of the second author was partially supported by Direcci?n General de Investigaci?n Cient?fica y T?cnica, Ministerio de Econom?a y Competitividad of Spain, under grant MTM2015-65888-C4-2-P and by M?xico's Consejo Nacional de Ciencia y Tecnolog?a (Conacyt) grant 287523. The authors would like to thank the anonymous referee for his/her very useful comments that helped to improve the paper.
FundersFunding numbers
M?xico's Consejo Nacional de Ciencia y Tecnolog?a
-CONACYT
287523
MINECO
MTM2015-65888-C4-2-P
DGICT
-FONACYT
-