Euclidean distance matrices: special subsets, systems of coordinates and multibalanced matrices
Autor(a) principal: | |
---|---|
Data de Publicação: | 2007 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Computational & Applied Mathematics |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022007000300006 |
Resumo: | In this paper we present special subsets of positive semidefinite matrices where the linear function k becomes a geometric similarity and its inverse can be easily computed. The images of these special subsets are characterized geometrically. We also study the systems of coordinates for spherical matrices and at the end, we introduce the class of multibalanced distance matrices. |
id |
SBMAC-2_15a8a20e280f60a3e8a95f30d9a6e640 |
---|---|
oai_identifier_str |
oai:scielo:S1807-03022007000300006 |
network_acronym_str |
SBMAC-2 |
network_name_str |
Computational & Applied Mathematics |
repository_id_str |
|
spelling |
Euclidean distance matrices: special subsets, systems of coordinates and multibalanced matricesEuclidean distance matricesIn this paper we present special subsets of positive semidefinite matrices where the linear function k becomes a geometric similarity and its inverse can be easily computed. The images of these special subsets are characterized geometrically. We also study the systems of coordinates for spherical matrices and at the end, we introduce the class of multibalanced distance matrices.Sociedade Brasileira de Matemática Aplicada e Computacional2007-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022007000300006Computational & Applied Mathematics v.26 n.3 2007reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMAC10.1590/S0101-82052007000300006info:eu-repo/semantics/openAccessTarazaga,PabloSterba-Boatwright,BlairWijewardena,Kithsirieng2007-11-14T00:00:00Zoai:scielo:S1807-03022007000300006Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2007-11-14T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)false |
dc.title.none.fl_str_mv |
Euclidean distance matrices: special subsets, systems of coordinates and multibalanced matrices |
title |
Euclidean distance matrices: special subsets, systems of coordinates and multibalanced matrices |
spellingShingle |
Euclidean distance matrices: special subsets, systems of coordinates and multibalanced matrices Tarazaga,Pablo Euclidean distance matrices |
title_short |
Euclidean distance matrices: special subsets, systems of coordinates and multibalanced matrices |
title_full |
Euclidean distance matrices: special subsets, systems of coordinates and multibalanced matrices |
title_fullStr |
Euclidean distance matrices: special subsets, systems of coordinates and multibalanced matrices |
title_full_unstemmed |
Euclidean distance matrices: special subsets, systems of coordinates and multibalanced matrices |
title_sort |
Euclidean distance matrices: special subsets, systems of coordinates and multibalanced matrices |
author |
Tarazaga,Pablo |
author_facet |
Tarazaga,Pablo Sterba-Boatwright,Blair Wijewardena,Kithsiri |
author_role |
author |
author2 |
Sterba-Boatwright,Blair Wijewardena,Kithsiri |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Tarazaga,Pablo Sterba-Boatwright,Blair Wijewardena,Kithsiri |
dc.subject.por.fl_str_mv |
Euclidean distance matrices |
topic |
Euclidean distance matrices |
description |
In this paper we present special subsets of positive semidefinite matrices where the linear function k becomes a geometric similarity and its inverse can be easily computed. The images of these special subsets are characterized geometrically. We also study the systems of coordinates for spherical matrices and at the end, we introduce the class of multibalanced distance matrices. |
publishDate |
2007 |
dc.date.none.fl_str_mv |
2007-01-01 |
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=S1807-03022007000300006 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022007000300006 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/S0101-82052007000300006 |
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.26 n.3 2007 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 |
_version_ |
1754734890127982592 |