The tower matrix, an alternative to deal with distances and quasi-distances
| Main Author: | |
|---|---|
| Publication Date: | 2019 |
| Other Authors: | , |
| Format: | Article |
| Language: | eng |
| Source: | Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) |
| Download full: | https://hdl.handle.net/1822/63138 |
Summary: | To any given n × n matrix D, associate a so-called tower matrix T with n × n rows and n columns. This matrix T deserves attention because it gives more information than D: in fact, the tower matrix exhibits, not only the shortest length of the paths from point p to point q, but also, for each third point k, the shortest length of the paths from p to q that pass through k. Interpretations of interest for business management and international commerce, for instance, emphasize the advantage of this supplementary information. |
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The tower matrix, an alternative to deal with distances and quasi-distancesDistancequasi-distancedistance matrixquasi-distance matrixtower matrixTower matrix. MR classification subject: 15B34Ciências Naturais::MatemáticasScience & TechnologyTo any given n × n matrix D, associate a so-called tower matrix T with n × n rows and n columns. This matrix T deserves attention because it gives more information than D: in fact, the tower matrix exhibits, not only the shortest length of the paths from point p to point q, but also, for each third point k, the shortest length of the paths from p to q that pass through k. Interpretations of interest for business management and international commerce, for instance, emphasize the advantage of this supplementary information.The Divine Cities Foundation; Fundação para a Ciência e Tecnologia; PortugueseFunds through FCT - Fundação para a Ciência e Tecnologia, within Project UID/MAT/00013/2013Old City PublishingUniversidade do MinhoZhang, YulinVeloso da Costa, AntónioSimões-Pereira, J. M. S.20192019-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/1822/63138engZhang, Y., Da Costa, A. V., & Simões-Pereira, J. M. S. (2019). The Tower Matrix, an Alternative to Deal with Distances and Quasi-distances. Journal of Multiple-Valued Logic & Soft Computing, 321542-39801542-3999https://www.oldcitypublishing.com/journals/mvlsc-home/mvlsc-issue-contents/mvlsc-volume-32-number-5-6-2019/mvlsc-32-5-6-p-449-454/info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-11T05:44:37Zoai:repositorium.sdum.uminho.pt:1822/63138Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T15:28:37.649333Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse |
| dc.title.none.fl_str_mv |
The tower matrix, an alternative to deal with distances and quasi-distances |
| title |
The tower matrix, an alternative to deal with distances and quasi-distances |
| spellingShingle |
The tower matrix, an alternative to deal with distances and quasi-distances Zhang, Yulin Distance quasi-distance distance matrix quasi-distance matrix tower matrix Tower matrix. MR classification subject: 15B34 Ciências Naturais::Matemáticas Science & Technology |
| title_short |
The tower matrix, an alternative to deal with distances and quasi-distances |
| title_full |
The tower matrix, an alternative to deal with distances and quasi-distances |
| title_fullStr |
The tower matrix, an alternative to deal with distances and quasi-distances |
| title_full_unstemmed |
The tower matrix, an alternative to deal with distances and quasi-distances |
| title_sort |
The tower matrix, an alternative to deal with distances and quasi-distances |
| author |
Zhang, Yulin |
| author_facet |
Zhang, Yulin Veloso da Costa, António Simões-Pereira, J. M. S. |
| author_role |
author |
| author2 |
Veloso da Costa, António Simões-Pereira, J. M. S. |
| author2_role |
author author |
| dc.contributor.none.fl_str_mv |
Universidade do Minho |
| dc.contributor.author.fl_str_mv |
Zhang, Yulin Veloso da Costa, António Simões-Pereira, J. M. S. |
| dc.subject.por.fl_str_mv |
Distance quasi-distance distance matrix quasi-distance matrix tower matrix Tower matrix. MR classification subject: 15B34 Ciências Naturais::Matemáticas Science & Technology |
| topic |
Distance quasi-distance distance matrix quasi-distance matrix tower matrix Tower matrix. MR classification subject: 15B34 Ciências Naturais::Matemáticas Science & Technology |
| description |
To any given n × n matrix D, associate a so-called tower matrix T with n × n rows and n columns. This matrix T deserves attention because it gives more information than D: in fact, the tower matrix exhibits, not only the shortest length of the paths from point p to point q, but also, for each third point k, the shortest length of the paths from p to q that pass through k. Interpretations of interest for business management and international commerce, for instance, emphasize the advantage of this supplementary information. |
| publishDate |
2019 |
| dc.date.none.fl_str_mv |
2019 2019-01-01T00:00:00Z |
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info:eu-repo/semantics/publishedVersion |
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info:eu-repo/semantics/article |
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article |
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publishedVersion |
| dc.identifier.uri.fl_str_mv |
https://hdl.handle.net/1822/63138 |
| url |
https://hdl.handle.net/1822/63138 |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
Zhang, Y., Da Costa, A. V., & Simões-Pereira, J. M. S. (2019). The Tower Matrix, an Alternative to Deal with Distances and Quasi-distances. Journal of Multiple-Valued Logic & Soft Computing, 32 1542-3980 1542-3999 https://www.oldcitypublishing.com/journals/mvlsc-home/mvlsc-issue-contents/mvlsc-volume-32-number-5-6-2019/mvlsc-32-5-6-p-449-454/ |
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info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf |
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Old City Publishing |
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Old City Publishing |
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reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia instacron:RCAAP |
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