Orthogonal matrix polynomials whose differences are also orthogonal

We characterize orthogonal matrix polynomials (Pn)n whose differences (∇Pn+1)n are also orthogonal by means of a discrete Pearson equation for the weight matrix W with respect to which the polynomials (Pn)n are orthogonal. We also construct some illustrative examples. In particular, we show that con...

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Detalles Bibliográficos
Autores: Durán Guardeño, Antonio José, Sánchez Canales, Vanesa
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2014
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/167140
Acceso en línea:https://hdl.handle.net/11441/167140
https://doi.org/10.1016/j.jat.2013.11.012
Access Level:acceso abierto
Palabra clave:Orthogonal matrix polynomials
Difference equations
Difference operators
Charlier polynomials
Matrix orthogonality
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spelling Orthogonal matrix polynomials whose differences are also orthogonalDurán Guardeño, Antonio JoséSánchez Canales, VanesaOrthogonal matrix polynomialsDifference equationsDifference operatorsCharlier polynomialsMatrix orthogonalityWe characterize orthogonal matrix polynomials (Pn)n whose differences (∇Pn+1)n are also orthogonal by means of a discrete Pearson equation for the weight matrix W with respect to which the polynomials (Pn)n are orthogonal. We also construct some illustrative examples. In particular, we show that contrary to what happens in the scalar case, in the matrix orthogonality the discrete Pearson equation for the weight matrix W is, in general, independent of whether the orthogonal polynomials with respect to W are eigenfunctions of a second order difference operator with polynomial coefficients. ⃝ElsevierMatemática Aplicada IIFQM262: Teoría de la AproximaciónFQM-413: Research Group on Geometric Algorithms & Applications (GALGO)Ministerio de Economia y CompetitividadJunta de AndalucíaEuropean Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER)2014info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/167140https://doi.org/10.1016/j.jat.2013.11.012reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésJournal of Approximation Theory, 179 (1), 112-127.MTM2012-36732-C03-03FQM-262FQM- 4643FQM-7276https://www.sciencedirect.com/science/article/pii/S0021904513001858info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1671402026-06-17T12:51:07Z
dc.title.none.fl_str_mv Orthogonal matrix polynomials whose differences are also orthogonal
title Orthogonal matrix polynomials whose differences are also orthogonal
spellingShingle Orthogonal matrix polynomials whose differences are also orthogonal
Durán Guardeño, Antonio José
Orthogonal matrix polynomials
Difference equations
Difference operators
Charlier polynomials
Matrix orthogonality
title_short Orthogonal matrix polynomials whose differences are also orthogonal
title_full Orthogonal matrix polynomials whose differences are also orthogonal
title_fullStr Orthogonal matrix polynomials whose differences are also orthogonal
title_full_unstemmed Orthogonal matrix polynomials whose differences are also orthogonal
title_sort Orthogonal matrix polynomials whose differences are also orthogonal
dc.creator.none.fl_str_mv Durán Guardeño, Antonio José
Sánchez Canales, Vanesa
author Durán Guardeño, Antonio José
author_facet Durán Guardeño, Antonio José
Sánchez Canales, Vanesa
author_role author
author2 Sánchez Canales, Vanesa
author2_role author
dc.contributor.none.fl_str_mv Matemática Aplicada II
FQM262: Teoría de la Aproximación
FQM-413: Research Group on Geometric Algorithms & Applications (GALGO)
Ministerio de Economia y Competitividad
Junta de Andalucía
European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER)
dc.subject.none.fl_str_mv Orthogonal matrix polynomials
Difference equations
Difference operators
Charlier polynomials
Matrix orthogonality
topic Orthogonal matrix polynomials
Difference equations
Difference operators
Charlier polynomials
Matrix orthogonality
description We characterize orthogonal matrix polynomials (Pn)n whose differences (∇Pn+1)n are also orthogonal by means of a discrete Pearson equation for the weight matrix W with respect to which the polynomials (Pn)n are orthogonal. We also construct some illustrative examples. In particular, we show that contrary to what happens in the scalar case, in the matrix orthogonality the discrete Pearson equation for the weight matrix W is, in general, independent of whether the orthogonal polynomials with respect to W are eigenfunctions of a second order difference operator with polynomial coefficients. ⃝
publishDate 2014
dc.date.none.fl_str_mv 2014
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/167140
https://doi.org/10.1016/j.jat.2013.11.012
url https://hdl.handle.net/11441/167140
https://doi.org/10.1016/j.jat.2013.11.012
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Approximation Theory, 179 (1), 112-127.
MTM2012-36732-C03-03
FQM-262
FQM- 4643
FQM-7276
https://www.sciencedirect.com/science/article/pii/S0021904513001858
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,81155

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