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A note on completing quasi-distance and distance matrices

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Resumo:We give a necessary and sufficient condition for the existence of a quasi-distance matrix where some positive off-diagonal entries have been prescribed. Moreover, we give an algorithm for obtaining such a matrix. We analyze also the case where distances instead of quasi-distances are considered.
Autores principais:Zhang, Yulin
Outros Autores:Veloso da Costa, António; Simões-Pereira, J. M. S.
Assunto:Quasi-distance matrix Completing a matrix Distance matrix
Ano:2019
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso aberto
Instituição associada:Universidade do Minho
Idioma:inglês
Origem:RepositóriUM - Universidade do Minho
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author Zhang, Yulin
author2 Veloso da Costa, António
Simões-Pereira, J. M. S.
author2_role author
author
author_facet Zhang, Yulin
Veloso da Costa, António
Simões-Pereira, J. M. S.
author_role author
contributor_name_str_mv Universidade do Minho
country_str PT
creators_json_txt [{\"Person.name\":\"Zhang, Yulin\"},{\"Person.name\":\"Veloso da Costa, António\"},{\"Person.name\":\"Simões-Pereira, J. M. S.\"}]
datacite.contributors.contributor.contributorName.fl_str_mv Universidade do Minho
datacite.creators.creator.creatorName.fl_str_mv Zhang, Yulin
Veloso da Costa, António
Simões-Pereira, J. M. S.
datacite.date.Accepted.fl_str_mv 2019-12-01T00:00:00Z
datacite.date.available.fl_str_mv 2020-02-04T14:15:07Z
datacite.date.embargoed.fl_str_mv 2020-02-04T14:15:07Z
datacite.rights.fl_str_mv http://purl.org/coar/access_right/c_abf2
datacite.subjects.subject.fl_str_mv Quasi-distance matrix
Completing a matrix
Distance matrix
datacite.titles.title.fl_str_mv A note on completing quasi-distance and distance matrices
dc.contributor.none.fl_str_mv Universidade do Minho
dc.creator.none.fl_str_mv Zhang, Yulin
Veloso da Costa, António
Simões-Pereira, J. M. S.
dc.date.Accepted.fl_str_mv 2019-12-01T00:00:00Z
dc.date.available.fl_str_mv 2020-02-04T14:15:07Z
dc.date.embargoed.fl_str_mv 2020-02-04T14:15:07Z
dc.format.none.fl_str_mv application/pdf
dc.identifier.none.fl_str_mv https://hdl.handle.net/1822/63717
dc.language.none.fl_str_mv eng
dc.publisher.none.fl_str_mv De Gruyter
dc.rights.cclincense.fl_str_mv http://creativecommons.org/licenses/by/4.0/
dc.rights.none.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.rights.copyright.fl_str_mv openAccess
dc.subject.none.fl_str_mv Quasi-distance matrix
Completing a matrix
Distance matrix
dc.title.fl_str_mv A note on completing quasi-distance and distance matrices
dc.type.none.fl_str_mv http://purl.org/coar/resource_type/c_6501
description We give a necessary and sufficient condition for the existence of a quasi-distance matrix where some positive off-diagonal entries have been prescribed. Moreover, we give an algorithm for obtaining such a matrix. We analyze also the case where distances instead of quasi-distances are considered.
dirty 0
eu_rights_str_mv openAccess
format article
fulltext.url.fl_str_mv https://prod-dspace.uminho.pt/bitstreams/02d7f841-ed89-4ae2-aa18-fd064e99e448/download
id rum_293fd7ecb4bf21487dc4f6d6c77bcb7d
identifier.url.fl_str_mv https://hdl.handle.net/1822/63717
instacron_str repositorium
institution Universidade do Minho
instname_str Universidade do Minho
language eng
network_acronym_str rum
network_name_str RepositóriUM - Universidade do Minho
oai_identifier_str oai:repositorium.uminho.pt:1822/63717
organization_str_mv urn:organizationAcronym:repositorium
person_str_mv Zhang, Yulin
Veloso da Costa, António
Simões-Pereira, J. M. S.
publishDate 2019
publisher.none.fl_str_mv De Gruyter
reponame_str RepositóriUM - Universidade do Minho
repository_id_str urn:repositoryAcronym:rum
service_str_mv urn:repositoryAcronym:rum
spelling engDe GruyterporWe give a necessary and sufficient condition for the existence of a quasi-distance matrix where some positive off-diagonal entries have been prescribed. Moreover, we give an algorithm for obtaining such a matrix. We analyze also the case where distances instead of quasi-distances are considered.application/pdfporA note on completing quasi-distance and distance matricesZhang, YulinVeloso da Costa, AntónioSimões-Pereira, J. M. S.HostingInstitutionOrganizationalUniversidade do Minhoe-mailmailto:repositorium@usdb.uminho.ptrepositorium@usdb.uminho.ptISSNIsPartOf2300-7451DOIIsPartOf10.1515/spma-2019-00162020-02-04T14:15:07Z2019-122019-072019-12-01T00:00:00ZHandlehttps://hdl.handle.net/1822/63717http://purl.org/coar/access_right/c_abf2open accessQuasi-distance matrixCompleting a matrixDistance matrix143609 bytesliteraturehttp://purl.org/coar/resource_type/c_6501journal article2019-12http://creativecommons.org/licenses/by/4.0/openAccesshttp://purl.org/coar/access_right/c_abf2application/pdffulltexthttps://prod-dspace.uminho.pt/bitstreams/02d7f841-ed89-4ae2-aa18-fd064e99e448/download
spellingShingle A note on completing quasi-distance and distance matrices
Zhang, Yulin
Quasi-distance matrix
Completing a matrix
Distance matrix
status SINGLETON
subject.fl_str_mv Quasi-distance matrix
Completing a matrix
Distance matrix
title A note on completing quasi-distance and distance matrices
title_full A note on completing quasi-distance and distance matrices
title_fullStr A note on completing quasi-distance and distance matrices
title_full_unstemmed A note on completing quasi-distance and distance matrices
title_short A note on completing quasi-distance and distance matrices
title_sort A note on completing quasi-distance and distance matrices
topic Quasi-distance matrix
Completing a matrix
Distance matrix
topic_facet Quasi-distance matrix
Completing a matrix
Distance matrix
url https://hdl.handle.net/1822/63717
visible 1