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

Araznibarreta, Gerardo; Mañas, Manuel

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

dc.affiliation.dpto	UC3M. Departamento de Matemáticas	es
dc.affiliation.grupoinv	UC3M. Grupo de Investigación: Análisis Aplicado	es
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.description	Proceedings of: 18th Conference of the International Linear Algebra Society (18th ILAS Conference). Providence, Rhode Island, USA. June 3-7, 2013	en
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.	en
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.	en
dc.format.extent	18
dc.format.mimetype	application/pdf
dc.identifier.bibliographicCitation	Linear Algebra and its Applications, 2015, v. 468, pp. 154-170.	en
dc.identifier.publicationfirstpage	154
dc.identifier.publicationlastpage	170
dc.identifier.publicationtitle	Linear Algebra and its Applications	en
dc.identifier.publicationvolume	468
dc.identifier.uri	https://hdl.handle.net/10016/23325
dc.language.iso	eng
dc.publisher	Elsevier	en
dc.relation.eventdate	June 3-7, 2013	en
dc.relation.eventplace	Providence, Rhode Island, USA	en
dc.relation.eventtitle	18th Conference of the International Linear Algebra Society	en
dc.relation.projectID	Gobierno de España. MTM2012-36732-C03-01	es
dc.relation.publisherversion	http://dx.doi.org/10.1016/j.laa.2014.04.030
dc.rights	© Elsevier 2015	en
dc.rights	Atribución-NoComercial-SinDerivadas 3.0 España
dc.rights.accessRights	open access
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.eciencia	Matemáticas	es
dc.subject.other	Multiple orthogonal polynomials	en
dc.subject.other	Christoffel–Darboux formula	en
dc.subject.other	Moment matrices	en
dc.subject.other	Jacobi type matrices	en
dc.subject.other	Gauss decomposition	en
dc.title	A Jacobi type Christoffel–Darboux formula for multiple orthogonal polynomials of mixed type	en
dc.type	conference paper	*
dc.type.hasVersion	AM	*
dspace.entity.type	Publication