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http://hdl.handle.net/10773/15348
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DC Field | Value | Language |
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dc.contributor.author | Guterman, Alexander | pt |
dc.contributor.author | Lemos, Rute | pt |
dc.contributor.author | Soares, Graça | pt |
dc.date.accessioned | 2016-03-22T10:48:58Z | - |
dc.date.issued | 2016-02-15 | - |
dc.identifier.issn | 0096-3003 | pt |
dc.identifier.uri | http://hdl.handle.net/10773/15348 | - |
dc.description.abstract | Let A and C be square complex matrices of sizen, the C-determinantal range of A is the subset of the complex plane{det(A−UCU^∗): UU^∗=In}. If A, C are both Hermitian matrices, then by a result of Fiedler (1971)[11] this set is a real line segment. In our paper we study this set for the case when C is a Hermitian matrix. Our purpose is to revisit and improve two well-known results on this topic. The first result is due to Li concerning theC-numerical range of a Hermitian matrix, see Condition 5.1 (a) in Li, (1994)[20]. The second one is due to C.-K. Li, Y.-T. Poon and N.-S. Sze about necessary and sufficient conditions for the C-determinantal range of A to be a subset of the line, (see Li et al. (2008)[21], Theorem 3.3). | pt |
dc.language.iso | eng | pt |
dc.publisher | Elsevier | pt |
dc.relation | FCT - UID/MAT/04106/2013 | pt |
dc.relation | FCT - PEst-OE/MAT/UI4080/2014 | pt |
dc.relation | RFBR 16-01-00113 | pt |
dc.relation | MD-962.2014.1 | pt |
dc.rights | openAccess | por |
dc.subject | C-determinantal range | pt |
dc.subject | C-numerical range | pt |
dc.subject | Marcus-Oliveira conjecture | pt |
dc.subject | σ-points | pt |
dc.subject | Real sets | pt |
dc.title | On the C-determinantal range for special classes of matrices | pt |
dc.type | article | pt |
dc.peerreviewed | yes | pt |
ua.distribution | international | pt |
degois.publication.firstPage | 86 | pt |
degois.publication.lastPage | 94 | pt |
degois.publication.title | Applied Mathematics and Computation | pt |
degois.publication.volume | 275 | pt |
dc.date.embargo | 2017-02-15 | - |
dc.identifier.doi | 10.1016/j.amc.2015.11.042 | pt |
Appears in Collections: | CIDMA - Artigos OGTCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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GutermanLemosSoares.pdf | Preprint | 349.35 kB | Adobe PDF | View/Open |
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