Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/11204
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Branquinho, A. | - |
dc.contributor.author | Cotrim, L. | - |
dc.contributor.author | Moreno, A. Foulquié | - |
dc.date.accessioned | 2009-08-27T09:39:17Z | - |
dc.date.available | 2009-08-27T09:39:17Z | - |
dc.date.issued | 2008 | - |
dc.identifier.citation | Pré-Publicações DMUC. 08-57 (2008) | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/11204 | - |
dc.description.abstract | In this work we give an interpretation of a (s(d + 1) + 1)-term recurrence relation in terms of type II multiple orthogonal polynomials. We rewrite this recurrence relation in matrix form and we obtain a three-term recurrence relation for vector polynomials with matrix coefficients. We present a matrix interpretation of the type II multi-ortogonality conditions. We state a Favard type theorem and the expression for the resolvent function associated to the vector of linear functionals. Finally a reinterpretation of the type II Hermite-Pad´e approximation in matrix form is given. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Centro de Matemática da Universidade de Coimbra | en_US |
dc.rights | openAccess | eng |
dc.subject | Multiple-orthogonal polynomials | en_US |
dc.subject | Hermite-Padé approximants | en_US |
dc.subject | Block tridiagonal operator | en_US |
dc.subject | Favard type theorem | en_US |
dc.title | Matrix interpretation of multiple orthogonality | en_US |
dc.type | preprint | en_US |
uc.controloAutoridade | Sim | - |
item.fulltext | Com Texto completo | - |
item.openairecristype | http://purl.org/coar/resource_type/c_816b | - |
item.languageiso639-1 | en | - |
item.openairetype | preprint | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | open | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0003-4685-1583 | - |
Appears in Collections: | FCTUC Matemática - Vários |
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File | Description | Size | Format | |
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Matrix interpretation of multiple orthogonality.pdf | 206.71 kB | Adobe PDF | View/Open |
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