Bounds for the zeros of unilateral octonionic polynomials

Detalhes bibliográficos
Autor(a) principal: Serôdio, Rogério
Data de Publicação: 2021
Outros Autores: Beites, P. D., Vitoria, José
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.6/12433
Resumo: 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.
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spelling Bounds for the zeros of unilateral octonionic polynomialsOctonionsOctonionic polynomialsMatricial normsBounds for the zerosIn 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.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.uBibliorumSerôdio, RogérioBeites, P. D.Vitoria, José2022-12-05T09:41:11Z20212021-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/12433enginfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-12-15T09:55:37Zoai:ubibliorum.ubi.pt:10400.6/12433Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:52:02.505694Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Bounds for the zeros of unilateral octonionic polynomials
title Bounds for the zeros of unilateral octonionic polynomials
spellingShingle Bounds for the zeros of unilateral octonionic polynomials
Serôdio, Rogério
Octonions
Octonionic polynomials
Matricial norms
Bounds for the zeros
title_short Bounds for the zeros of unilateral octonionic polynomials
title_full Bounds for the zeros of unilateral octonionic polynomials
title_fullStr Bounds for the zeros of unilateral octonionic polynomials
title_full_unstemmed Bounds for the zeros of unilateral octonionic polynomials
title_sort Bounds for the zeros of unilateral octonionic polynomials
author Serôdio, Rogério
author_facet Serôdio, Rogério
Beites, P. D.
Vitoria, José
author_role author
author2 Beites, P. D.
Vitoria, José
author2_role author
author
dc.contributor.none.fl_str_mv uBibliorum
dc.contributor.author.fl_str_mv Serôdio, Rogério
Beites, P. D.
Vitoria, José
dc.subject.por.fl_str_mv Octonions
Octonionic polynomials
Matricial norms
Bounds for the zeros
topic Octonions
Octonionic polynomials
Matricial norms
Bounds for the zeros
description 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.
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-01-01T00:00:00Z
2022-12-05T09:41:11Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.6/12433
url http://hdl.handle.net/10400.6/12433
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
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