On the eigenvalues of Euclidean distance matrices

Detalhes bibliográficos
Autor(a) principal: Alfakih,A.Y.
Data de Publicação: 2008
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Computational & Applied Mathematics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022008000300001
Resumo: In this paper, the notion of equitable partitions (EP) is used to study the eigenvalues of Euclidean distance matrices (EDMs). In particular, EP is used to obtain the characteristic polynomials of regular EDMs and non-spherical centrally symmetric EDMs. The paper also presents methods for constructing cospectral EDMs and EDMs with exactly three distinct eigenvalues.
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spelling On the eigenvalues of Euclidean distance matricesEuclidean distance matriceseigenvaluesequitable partitionscharacteristic polynomialIn this paper, the notion of equitable partitions (EP) is used to study the eigenvalues of Euclidean distance matrices (EDMs). In particular, EP is used to obtain the characteristic polynomials of regular EDMs and non-spherical centrally symmetric EDMs. The paper also presents methods for constructing cospectral EDMs and EDMs with exactly three distinct eigenvalues.Sociedade Brasileira de Matemática Aplicada e Computacional2008-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022008000300001Computational & Applied Mathematics v.27 n.3 2008reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMAC10.1590/S0101-82052008000300001info:eu-repo/semantics/openAccessAlfakih,A.Y.eng2008-10-29T00:00:00Zoai:scielo:S1807-03022008000300001Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2008-10-29T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)false
dc.title.none.fl_str_mv On the eigenvalues of Euclidean distance matrices
title On the eigenvalues of Euclidean distance matrices
spellingShingle On the eigenvalues of Euclidean distance matrices
Alfakih,A.Y.
Euclidean distance matrices
eigenvalues
equitable partitions
characteristic polynomial
title_short On the eigenvalues of Euclidean distance matrices
title_full On the eigenvalues of Euclidean distance matrices
title_fullStr On the eigenvalues of Euclidean distance matrices
title_full_unstemmed On the eigenvalues of Euclidean distance matrices
title_sort On the eigenvalues of Euclidean distance matrices
author Alfakih,A.Y.
author_facet Alfakih,A.Y.
author_role author
dc.contributor.author.fl_str_mv Alfakih,A.Y.
dc.subject.por.fl_str_mv Euclidean distance matrices
eigenvalues
equitable partitions
characteristic polynomial
topic Euclidean distance matrices
eigenvalues
equitable partitions
characteristic polynomial
description In this paper, the notion of equitable partitions (EP) is used to study the eigenvalues of Euclidean distance matrices (EDMs). In particular, EP is used to obtain the characteristic polynomials of regular EDMs and non-spherical centrally symmetric EDMs. The paper also presents methods for constructing cospectral EDMs and EDMs with exactly three distinct eigenvalues.
publishDate 2008
dc.date.none.fl_str_mv 2008-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022008000300001
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022008000300001
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0101-82052008000300001
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv Computational & Applied Mathematics v.27 n.3 2008
reponame:Computational & Applied Mathematics
instname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron:SBMAC
instname_str Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron_str SBMAC
institution SBMAC
reponame_str Computational & Applied Mathematics
collection Computational & Applied Mathematics
repository.name.fl_str_mv Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
repository.mail.fl_str_mv ||sbmac@sbmac.org.br
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