Quaternionic numerical range of complex matrices
Autor(a) principal: | |
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Data de Publicação: | 2021 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10071/22382 |
Resumo: | This paper explores further the computation of the quaternionic numerical range of a complex matrix. We prove a modified version of a conjecture by So and Thompson. Specifically, we show that the shape of the quaternionic numerical range for a complex matrix depends on the complex numerical range and two real values. We establish under which conditions the bild of a complex matrix coincides with its complex numerical range and when the quaternionic numerical range is convex. |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Quaternionic numerical range of complex matricesQuaternionsNumerical rangeComplex matricesNumerical radiusThis paper explores further the computation of the quaternionic numerical range of a complex matrix. We prove a modified version of a conjecture by So and Thompson. Specifically, we show that the shape of the quaternionic numerical range for a complex matrix depends on the complex numerical range and two real values. We establish under which conditions the bild of a complex matrix coincides with its complex numerical range and when the quaternionic numerical range is convex.Elsevier2023-03-04T00:00:00Z2021-01-01T00:00:00Z20212021-03-19T20:00:27Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10071/22382eng0024-379510.1016/j.laa.2021.02.030Carvalho, L.Diogo, C.Mendes, S.info: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:RCAAP2023-11-09T17:54:56Zoai:repositorio.iscte-iul.pt:10071/22382Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:27:51.925857Repositório 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 |
Quaternionic numerical range of complex matrices |
title |
Quaternionic numerical range of complex matrices |
spellingShingle |
Quaternionic numerical range of complex matrices Carvalho, L. Quaternions Numerical range Complex matrices Numerical radius |
title_short |
Quaternionic numerical range of complex matrices |
title_full |
Quaternionic numerical range of complex matrices |
title_fullStr |
Quaternionic numerical range of complex matrices |
title_full_unstemmed |
Quaternionic numerical range of complex matrices |
title_sort |
Quaternionic numerical range of complex matrices |
author |
Carvalho, L. |
author_facet |
Carvalho, L. Diogo, C. Mendes, S. |
author_role |
author |
author2 |
Diogo, C. Mendes, S. |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Carvalho, L. Diogo, C. Mendes, S. |
dc.subject.por.fl_str_mv |
Quaternions Numerical range Complex matrices Numerical radius |
topic |
Quaternions Numerical range Complex matrices Numerical radius |
description |
This paper explores further the computation of the quaternionic numerical range of a complex matrix. We prove a modified version of a conjecture by So and Thompson. Specifically, we show that the shape of the quaternionic numerical range for a complex matrix depends on the complex numerical range and two real values. We establish under which conditions the bild of a complex matrix coincides with its complex numerical range and when the quaternionic numerical range is convex. |
publishDate |
2021 |
dc.date.none.fl_str_mv |
2021-01-01T00:00:00Z 2021 2021-03-19T20:00:27Z 2023-03-04T00:00:00Z |
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/10071/22382 |
url |
http://hdl.handle.net/10071/22382 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0024-3795 10.1016/j.laa.2021.02.030 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Elsevier |
publisher.none.fl_str_mv |
Elsevier |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
repository.mail.fl_str_mv |
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1799134841257590784 |