Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/11402
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Bento, Américo | - |
dc.contributor.author | Duarte, António Leal | - |
dc.date.accessioned | 2009-09-14T15:08:58Z | - |
dc.date.available | 2009-09-14T15:08:58Z | - |
dc.date.issued | 2004 | - |
dc.identifier.citation | Pré-Publicações DMUC. 04-34 (2004) | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/11402 | - |
dc.description.abstract | Let K be a field and p an integer positive number. We denote by Bpn (K) the set of n-by-n symmetric band matrices of bandwidth 2p − 1, i.e., if A = [aij ] ∈ Bpn (K) then aij = 0 if |i − j| > p − 1. Let b Bpn (K) be the set of matrices from Bpn (K) in which the entries (i, j), |i − j| = p − 1, are different from zero. Let A be a n-by-n symmetric matrix with entries from K; and p such that 3 6 p 6 n. We will show that: rank(A + B) > n − p + 1, for every B ∈ Bp−1 n (K), if and only if A ∈ b Bpn (K). | en_US |
dc.description.sponsorship | CMUC | 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 | Band matrices | en_US |
dc.subject | Rank | en_US |
dc.subject | Completions problems | en_US |
dc.title | A Fiedler's type characterization of band matrices | en_US |
dc.type | preprint | en_US |
uc.controloAutoridade | Sim | - |
item.fulltext | Com Texto completo | - |
item.grantfulltext | open | - |
item.languageiso639-1 | en | - |
item.cerifentitytype | Publications | - |
item.openairetype | preprint | - |
item.openairecristype | http://purl.org/coar/resource_type/c_816b | - |
crisitem.author.dept | Faculty of Sciences and Technology | - |
crisitem.author.parentdept | University of Coimbra | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0002-0946-1765 | - |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Nacionais |
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File | Description | Size | Format | |
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A Fiedler's type characterization of band matrices.pdf | 110.67 kB | Adobe PDF | View/Open |
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