Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/7740
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Fonseca, C. M. da | - |
dc.contributor.author | Petronilho, J. | - |
dc.date.accessioned | 2009-02-17T11:17:41Z | - |
dc.date.available | 2009-02-17T11:17:41Z | - |
dc.date.issued | 2005 | en_US |
dc.identifier.citation | Numerische Mathematik. 100:3 (2005) 457-482 | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/7740 | - |
dc.description.abstract | Summary We obtain explicit formulas for the entries of the inverse of a nonsingular and irreducible tridiagonal k-Toeplitz matrix A. The proof is based on results from the theory of orthogonal polynomials and it is shown that the entries of the inverse of such a matrix are given in terms of Chebyshev polynomials of the second kind. We also compute the characteristic polynomial of A which enables us to state some conditions for the existence of A-1. Our results also extend known results for the case when the residue mod k of the order of A is equal to 0 or k-1 (Numer. Math., 10 (1967), pp. 153–161.). | en_US |
dc.language.iso | eng | eng |
dc.rights | openAccess | eng |
dc.title | Explicit inverse of a tridiagonal k-Toeplitz matrix | en_US |
dc.type | article | en_US |
dc.identifier.doi | 10.1007/s00211-005-0596-3 | en_US |
uc.controloAutoridade | Sim | - |
item.fulltext | Com Texto completo | - |
item.grantfulltext | open | - |
item.languageiso639-1 | en | - |
item.cerifentitytype | Publications | - |
item.openairetype | article | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0002-1413-3889 | - |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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