Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/13638
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Branquinho, A. | - |
dc.contributor.author | Marcellán, F. | - |
dc.contributor.author | Mendes, A. | - |
dc.date.accessioned | 2010-08-20T10:50:55Z | - |
dc.date.available | 2010-08-20T10:50:55Z | - |
dc.date.issued | 2009 | - |
dc.identifier.citation | Pré-Publicações DMUC. 09-41 (2009) | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/13638 | - |
dc.description.abstract | In this paper we study sequences of vector orthogonal polynomials. The vector orthogonality presented here provides a reinterpretation of what is known in the literature as matrix orthogonality. These systems of orthogonal polynomials satisfy three-term recurrence relations with matrix coefficients that do not obey to any type of symmetry. In this sense the vectorial reinterpretation allows us to study a non-symmetric case of the matrix orthogonality. We also prove that our systems of polynomials are indeed orthonormal with respect to a complex measure of orthogonality. Approximation problems of Hermite-Pad´e type are also discussed. Finally, a Markov’s type theorem is presented. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Centro de Matemática da Universidade de Coimbra | en_US |
dc.rights | openAccess | en_US |
dc.subject | Matrix orthogonal polynomials | en_US |
dc.subject | Hermite-Padé problems | en_US |
dc.subject | Linear functional | en_US |
dc.subject | Recurrence relation | en_US |
dc.subject | Tridiagonal operator | en_US |
dc.subject | Favard theorem | en_US |
dc.subject | Nevai class | en_US |
dc.title | Vector interpretation of the matrix orthogonality on the real line | en_US |
dc.type | preprint | en_US |
degois.publication.issue | 09-41 | en_US |
degois.publication.location | Coimbra | en_US |
degois.publication.title | Pré-Publicações DMUC | en_US |
uc.controloAutoridade | Sim | - |
item.openairecristype | http://purl.org/coar/resource_type/c_816b | - |
item.openairetype | preprint | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | open | - |
item.fulltext | Com Texto completo | - |
item.languageiso639-1 | en | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0003-4685-1583 | - |
crisitem.author.orcid | 0000-0003-4331-4475 | - |
Appears in Collections: | FCTUC Matemática - Vários |
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File | Description | Size | Format | |
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Vector interpretation of the matrix orthogonality.pdf | 282.71 kB | Adobe PDF | View/Open |
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