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Higher-order recurrence relations, Sobolev-type inner products and matrix factorizations

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorHermoso, Carlos
dc.contributor.authorHuertas, Edmundo J.
dc.contributor.authorLastra, Alberto
dc.contributor.authorMarcellán Español, Francisco José
dc.contributor.funderComunidad de Madrides
dc.contributor.funderAgencia Estatal de Investigación (España)es
dc.date.accessioned2023-07-03T09:40:28Z
dc.date.available2023-07-03T09:40:28Z
dc.date.issued2023-01
dc.description.abstractIt is well known that Sobolev-type orthogonal polynomials with respect to measures supported on the real line satisfy higher-order recurrence relations and these can be expressed as a (2N + 1)-banded symmetric semi-infinite matrix. In this paper, we state the connection between these (2N + 1)-banded matrices and the Jacobi matrices associated with the three-term recurrence relation satisfied by the standard sequence of orthonormal polynomials with respect to the 2-iterated Christoffel transformation of the measure.en
dc.description.sponsorshipOpen Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. The work of CH, EJH and AL is supported by Dirección General de Investigación e Innovación, Consejería de Educación e Investigación of the Comunidad de Madrid (Spain), and Universidad de Alcalá under grants CM/JIN/2019-010 and CM/JIN/2021-014, Proyectos de I+D para Jóvenes Investigadores de la Universidad de Alcalá 2019 and 2021, respectively. The work of FM has been supported by FEDER/Ministerio de Ciencia e Innovación-Agencia Estatal de Investigación of Spain, grant PGC2018-096504-B-C33, and the Madrid Government (Comunidad de Madrid-Spain) under the Multiannual Agreement with UC3M in the line of Excellence of University Professors, grant EPUC3M23 in the context of the V PRICIT (Regional Programme of Research and Technological Innovation).en
dc.format.extent28
dc.identifier.bibliographicCitationHermoso, C., Huertas, E. J., Lastra, A., & Marcellán, F. (2022). Higher-order recurrence relations, Sobolev-type inner products and matrix factorizations. Numerical Algorithms, 92(1), 665-692.en
dc.identifier.doihttps://doi.org/10.1007/s11075-022-01402-y
dc.identifier.issn1017-1398
dc.identifier.publicationfirstpage665
dc.identifier.publicationissue1
dc.identifier.publicationlastpage692
dc.identifier.publicationtitleNumerical Algorithmsen
dc.identifier.publicationvolume92
dc.identifier.urihttps://hdl.handle.net/10016/37713
dc.identifier.uxxiAR/0000032498
dc.language.isoeng
dc.publisherSpringeren
dc.relation.projectIDGobierno de España. PGC2018-096504-B-C33es
dc.relation.projectIDComunidad de Madrid. EPUC3M23es
dc.rights© The Author(s) 2022.en
dc.rightsAtribución 3.0 España*
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.subject.ecienciaFísicaes
dc.subject.ecienciaInformáticaes
dc.subject.ecienciaMatemáticases
dc.subject.otherFive diagonal matricesen
dc.subject.otherJacobi matricesen
dc.subject.otherLaguerre polynomialsen
dc.subject.otherOrthogonal polynomialsen
dc.subject.otherRecurrence relationsen
dc.subject.otherSobolev-type orthogonal polynomialsen
dc.titleHigher-order recurrence relations, Sobolev-type inner products and matrix factorizationsen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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