Publication
Bounds for the zeros of unilateral octonionic polynomials
| dc.contributor.author | Serôdio, Rogério | |
| dc.contributor.author | Beites, P. D. | |
| dc.contributor.author | Vitoria, José | |
| dc.date.accessioned | 2022-12-05T09:41:11Z | |
| dc.date.available | 2022-12-05T09:41:11Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | In the present work it is proved that the zeros of a unilateral octo- nionic polynomial belong to the conjugacy classes of the latent roots of an appropriate lambda-matrix. This allows the use of matricial norms, and matrix norms in particular, to obtain upper and lower bounds for the zeros of unilateral octonionic polynomials. Some results valid for complex and/or matrix polynomials are extended to octonionic polyno- mials. | pt_PT |
| dc.description.sponsorship | R. Serˆodio and P. D. Beites were supported by FCT (Funda¸c˜ao para a Ciˆencia e a Tecnologia, Portugal), project UIDB/00212/2020 of CMA-UBI (Centro de Matem´atica e Aplica¸c˜oes da Universidade da Beira Interior). P. D. Beites was also supported by MINECO (Ministerio de Asuntos Econ´omicos y Transformaci´on Digital, Spain), project MTM2017-83506-C2-2-P. The authors would like to thank Maria Helena Serˆodio and Mary Garfield for clarifying some language queries. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.6/12433 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.relation | Center of Mathematics and Applications of University of Beira Interior | |
| dc.relation.publisherversion | https://www.anstuocmath.ro/mathematics/anale2021v3/13_Serodio_et_all.pdf | pt_PT |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | pt_PT |
| dc.subject | Octonions | pt_PT |
| dc.subject | Octonionic polynomials | pt_PT |
| dc.subject | Matricial norms | pt_PT |
| dc.subject | Bounds for the zeros | pt_PT |
| dc.title | Bounds for the zeros of unilateral octonionic polynomials | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardTitle | Center of Mathematics and Applications of University of Beira Interior | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00212%2F2020/PT | |
| oaire.citation.endPage | 267 | pt_PT |
| oaire.citation.startPage | 243 | pt_PT |
| oaire.citation.title | Analele Stiintifice ale Universitatii Ovidius Constanta | pt_PT |
| oaire.citation.volume | 29 | pt_PT |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| person.familyName | Serôdio | |
| person.familyName | Damas Beites | |
| person.familyName | Vitoria | |
| person.givenName | Rogério | |
| person.givenName | Patrícia | |
| person.givenName | Jose | |
| person.identifier.ciencia-id | 591A-8D9A-73CE | |
| person.identifier.orcid | 0000-0002-8911-245X | |
| person.identifier.orcid | 0000-0003-0266-7055 | |
| person.identifier.orcid | 0000-0003-3964-2425 | |
| person.identifier.rid | N-8736-2014 | |
| person.identifier.rid | K-5772-2017 | |
| person.identifier.scopus-author-id | 6506651403 | |
| person.identifier.scopus-author-id | 37041170800 | |
| person.identifier.scopus-author-id | 15735365200 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
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