Moment perturbation of matrix polynomials

Abdon E. Choque-Rivero; Luis E. Garza

doi:10.1080/10652469.2014.978866

Moment perturbation of matrix polynomials

Abdon E. Choque-Rivero, Luis E. Garza^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

We consider a sequence of perturbed matrix orthogonal polynomials caused by some perturbation on the moments. We find an explicit relation between the perturbed polynomials and the original ones. We also analyse the perturbed second kind polynomials via its associated orthogonal polynomials and the non-perturbed second kind polynomials.

Original language	English
Pages (from-to)	177-191
Number of pages	15
Journal	Integral Transforms and Special Functions
Volume	26
Issue number	3
DOIs	https://doi.org/10.1080/10652469.2014.978866
Publication status	Published - 4 Mar 2015
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2014, © 2014 Taylor & Francis.

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1080/10652469.2014.978866

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title = "Moment perturbation of matrix polynomials",

abstract = "We consider a sequence of perturbed matrix orthogonal polynomials caused by some perturbation on the moments. We find an explicit relation between the perturbed polynomials and the original ones. We also analyse the perturbed second kind polynomials via its associated orthogonal polynomials and the non-perturbed second kind polynomials.",

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year = "2015",

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doi = "10.1080/10652469.2014.978866",

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AU - Choque-Rivero, Abdon E.

AU - Garza, Luis E.

PY - 2015/3/4

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N2 - We consider a sequence of perturbed matrix orthogonal polynomials caused by some perturbation on the moments. We find an explicit relation between the perturbed polynomials and the original ones. We also analyse the perturbed second kind polynomials via its associated orthogonal polynomials and the non-perturbed second kind polynomials.

AB - We consider a sequence of perturbed matrix orthogonal polynomials caused by some perturbation on the moments. We find an explicit relation between the perturbed polynomials and the original ones. We also analyse the perturbed second kind polynomials via its associated orthogonal polynomials and the non-perturbed second kind polynomials.

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JO - Integral Transforms and Special Functions

JF - Integral Transforms and Special Functions

IS - 3

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Moment perturbation of matrix polynomials

Abstract

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All Science Journal Classification (ASJC) codes

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