A Jacobi type Christoffel–Darboux formula for multiple orthogonal polynomials of mixed type

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dc.contributor.author Araznibarreta, Gerardo
dc.contributor.author Mañas, Manuel
dc.date.accessioned 2016-07-12T07:40:30Z
dc.date.available 2017-03-02T23:00:07Z
dc.date.issued 2016-07
dc.identifier.bibliographicCitation Linear Algebra and its Applications, 2015, v. 468, pp. 154-170.
dc.identifier.uri http://hdl.handle.net/10016/23325
dc.description Proceedings of: 18th Conference of the International Linear Algebra Society (18th ILAS Conference). Providence, Rhode Island, USA. June 3-7, 2013
dc.description.abstract An alternative expression for the Christoffel–Darboux formula for multiple orthogonal polynomials of mixed type is derived from the LU factorization of the moment matrix of a given measure and two sets of weights. We use the action of the generalized Jacobi matrix J, also responsible for the recurrence relations, on the linear forms and their duals to obtain the result.
dc.description.sponsorship GA thanks economical support from the Universidad Complutense de Madrid Program “Ayudas para Becas y Contratos Complutenses Predoctorales en España 2011”. MM thanks economical support from the Spanish “Ministerio de Economía y Competitividad” research project MTM2012-36732-C03-01, Ortogonalidad y aproximacion; Teoría y Aplicaciones.
dc.format.extent 18
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher Elsevier
dc.rights © Elsevier 2015
dc.rights Atribución-NoComercial-SinDerivadas 3.0 España
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.other Multiple orthogonal polynomials
dc.subject.other Christoffel–Darboux formula
dc.subject.other Moment matrices
dc.subject.other Jacobi type matrices
dc.subject.other Gauss decomposition
dc.title A Jacobi type Christoffel–Darboux formula for multiple orthogonal polynomials of mixed type
dc.type article
dc.type conferenceObject
dc.relation.publisherversion http://dx.doi.org/10.1016/j.laa.2014.04.030
dc.subject.eciencia Matemáticas
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. MTM2012-36732-C03-01
dc.type.version acceptedVersion
dc.relation.eventdate June 3-7, 2013
dc.relation.eventplace Providence, Rhode Island, USA
dc.relation.eventtitle 18th Conference of the International Linear Algebra Society
dc.relation.eventtype proceeding
dc.identifier.publicationfirstpage 154
dc.identifier.publicationlastpage 170
dc.identifier.publicationtitle Linear Algebra and its Applications
dc.identifier.publicationvolume 468
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