Distance between linear varieties in ℝn. application of an (in)equality by (fan-todd) beesack
Autor(a) principal: | |
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Data de Publicação: | 2018 |
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/10400.26/46826 |
Resumo: | The closest point of a linear variety to an external point is found by using the equality case of an Ostrowski’s type inequality. This point is given in a closed form as the quotient of a formal and a scalar Gram determinant. Then the best approximation pair of points onto two linear varieties is obtained, besides its characterization. |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
spelling |
Distance between linear varieties in ℝn. application of an (in)equality by (fan-todd) beesackThe closest point of a linear variety to an external point is found by using the equality case of an Ostrowski’s type inequality. This point is given in a closed form as the quotient of a formal and a scalar Gram determinant. Then the best approximation pair of points onto two linear varieties is obtained, besides its characterization.Pushpa Publishing HouseRepositório ComumVicente, M. A. FacasVitória, JoséM. L. Martins, FernandoCosta, C.Tadeu, Pedro2023-09-28T10:23:17Z20182018-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.26/46826enghttp://dx.doi.org/10.17654/MS109010057info: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:RCAAP2023-10-05T02:15:54Zoai:comum.rcaap.pt:10400.26/46826Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:33:19.079131Repositório 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 |
Distance between linear varieties in ℝn. application of an (in)equality by (fan-todd) beesack |
title |
Distance between linear varieties in ℝn. application of an (in)equality by (fan-todd) beesack |
spellingShingle |
Distance between linear varieties in ℝn. application of an (in)equality by (fan-todd) beesack Vicente, M. A. Facas |
title_short |
Distance between linear varieties in ℝn. application of an (in)equality by (fan-todd) beesack |
title_full |
Distance between linear varieties in ℝn. application of an (in)equality by (fan-todd) beesack |
title_fullStr |
Distance between linear varieties in ℝn. application of an (in)equality by (fan-todd) beesack |
title_full_unstemmed |
Distance between linear varieties in ℝn. application of an (in)equality by (fan-todd) beesack |
title_sort |
Distance between linear varieties in ℝn. application of an (in)equality by (fan-todd) beesack |
author |
Vicente, M. A. Facas |
author_facet |
Vicente, M. A. Facas Vitória, José M. L. Martins, Fernando Costa, C. Tadeu, Pedro |
author_role |
author |
author2 |
Vitória, José M. L. Martins, Fernando Costa, C. Tadeu, Pedro |
author2_role |
author author author author |
dc.contributor.none.fl_str_mv |
Repositório Comum |
dc.contributor.author.fl_str_mv |
Vicente, M. A. Facas Vitória, José M. L. Martins, Fernando Costa, C. Tadeu, Pedro |
description |
The closest point of a linear variety to an external point is found by using the equality case of an Ostrowski’s type inequality. This point is given in a closed form as the quotient of a formal and a scalar Gram determinant. Then the best approximation pair of points onto two linear varieties is obtained, besides its characterization. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018 2018-01-01T00:00:00Z 2023-09-28T10:23:17Z |
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/10400.26/46826 |
url |
http://hdl.handle.net/10400.26/46826 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
http://dx.doi.org/10.17654/MS109010057 |
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 |
Pushpa Publishing House |
publisher.none.fl_str_mv |
Pushpa Publishing House |
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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1799133598350049280 |