Publication
Spectral and weak polynomial completeness for the product of nonsingular matrices
| dc.contributor.author | Iglésias, Laura | |
| dc.contributor.author | Silva, Fernando C. | |
| dc.date.accessioned | 2016-04-15T16:11:26Z | |
| dc.date.available | 2016-04-15T16:11:26Z | |
| dc.date.issued | 2015-10-03 | |
| dc.description.abstract | Let F be a field with at least four elements. In this paper, we identify all the pairs (A, B) of n x n nonsingular matrices over F, satisfying the following property: for every monic polynomial f (x) = x(n) + a(n-1)x(n-1) +... + a(1)x + a(0) over F, with a root in F and a(0) = (-1)(n) det(AB), there are nonsingular matrices X, Y is an element of F-nxn such that XAX(-1)Y BY-1 has characteristic polynomial f (x). | pt_PT |
| dc.identifier.citation | IGLÉSIAS, LAURA; SILVA, FERNANDO C.; - Spectral and weak polynomial completeness for the product of nonsingular matrices. Linear and Multilinear Algebra. ISSN.0308-1087. Vol. 63, N.º 10, SI (2015), pp. 1937-1946. | pt_PT |
| dc.identifier.doi | 10.1080/03081087.2013.862620 | pt_PT |
| dc.identifier.issn | 0308-1087 | |
| dc.identifier.issn | 1563-5139 | |
| dc.identifier.uri | http://hdl.handle.net/10400.21/6003 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | TAYLOR & FRANCIS LTD | pt_PT |
| dc.relation.ispartofseries | SI; | |
| dc.relation.publisherversion | http://www.tandfonline.com/doi/abs/10.1080/03081087.2013.862620 | pt_PT |
| dc.subject | Eigenvalues | pt_PT |
| dc.subject | Characteristic polynomial | pt_PT |
| dc.subject | Invariant polynomials | pt_PT |
| dc.subject | Factorization of matrices | pt_PT |
| dc.title | Spectral and weak polynomial completeness for the product of nonsingular matrices | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 1946 | pt_PT |
| oaire.citation.issue | 10 | pt_PT |
| oaire.citation.startPage | 1937 | pt_PT |
| oaire.citation.volume | 63 | pt_PT |
| person.familyName | Iglésias | |
| person.givenName | Laura | |
| person.identifier.orcid | 0000-0003-0473-4557 | |
| rcaap.rights | closedAccess | pt_PT |
| rcaap.type | article | pt_PT |
| relation.isAuthorOfPublication | 3f1f700e-295e-4de1-a2d6-62a41bbd8671 | |
| relation.isAuthorOfPublication.latestForDiscovery | 3f1f700e-295e-4de1-a2d6-62a41bbd8671 |
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