On simultaneously and approximately simultaneously diagonalizable m-tuples of matrices

In this paper, the problem of simultaneous diagonalization of m-tuples of n-order square complex matrices, is analyzed and some necessary and some necessary and sufficient conditions for this property to be fulfilled are presented. This study has an interest in its applications in different areas as...

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Author: García Planas, María Isabel|||0000-0001-7418-7208
Format: article
Publication Date:2019
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/135365
Online Access:https://hdl.handle.net/2117/135365
https://dx.doi.org/10.33401/fujma.545064
Access Level:Open access
Keyword:Matrices
Vector spaces
Diagonalization
Eigenvalues
Eigenvectors
Equivalence relation
Simultaneously diagonaliation
Matrius (Matemàtica)
Espais vectorials
Àrees temàtiques de la UPC::Matemàtiques i estadística
id ES_73b43d5a90af18bfbfd5607c85591bcd
oai_identifier_str oai:upcommons.upc.edu:2117/135365
network_acronym_str ES
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repository_id_str
spelling On simultaneously and approximately simultaneously diagonalizable m-tuples of matricesGarcía Planas, María Isabel|||0000-0001-7418-7208MatricesVector spacesDiagonalizationEigenvaluesEigenvectorsEquivalence relationSimultaneously diagonaliationMatrius (Matemàtica)Espais vectorialsÀrees temàtiques de la UPC::Matemàtiques i estadísticaIn this paper, the problem of simultaneous diagonalization of m-tuples of n-order square complex matrices, is analyzed and some necessary and some necessary and sufficient conditions for this property to be fulfilled are presented. This study has an interest in its applications in different areas as for example in engineering and physical sciences. For example, they appear founding when we must give the instanton solution of Yang-Mills field presented in an octonion form, and it can be represented by triples of traceless matrices. In the case where the m-tuple does not simultaneously diagonalize, the possibility of to find near of the given m-tuple, an m-tuple that diagonalize simultaneously is studiedPeer ReviewedFundamental Journal of Mathematics and Applications20192019-01-0120192019-06-26journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/135365https://dx.doi.org/10.33401/fujma.545064reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/1353652026-05-27T15:37:01Z
dc.title.none.fl_str_mv On simultaneously and approximately simultaneously diagonalizable m-tuples of matrices
title On simultaneously and approximately simultaneously diagonalizable m-tuples of matrices
spellingShingle On simultaneously and approximately simultaneously diagonalizable m-tuples of matrices
García Planas, María Isabel|||0000-0001-7418-7208
Matrices
Vector spaces
Diagonalization
Eigenvalues
Eigenvectors
Equivalence relation
Simultaneously diagonaliation
Matrius (Matemàtica)
Espais vectorials
Àrees temàtiques de la UPC::Matemàtiques i estadística
title_short On simultaneously and approximately simultaneously diagonalizable m-tuples of matrices
title_full On simultaneously and approximately simultaneously diagonalizable m-tuples of matrices
title_fullStr On simultaneously and approximately simultaneously diagonalizable m-tuples of matrices
title_full_unstemmed On simultaneously and approximately simultaneously diagonalizable m-tuples of matrices
title_sort On simultaneously and approximately simultaneously diagonalizable m-tuples of matrices
dc.creator.none.fl_str_mv García Planas, María Isabel|||0000-0001-7418-7208
author García Planas, María Isabel|||0000-0001-7418-7208
author_facet García Planas, María Isabel|||0000-0001-7418-7208
author_role author
dc.subject.none.fl_str_mv Matrices
Vector spaces
Diagonalization
Eigenvalues
Eigenvectors
Equivalence relation
Simultaneously diagonaliation
Matrius (Matemàtica)
Espais vectorials
Àrees temàtiques de la UPC::Matemàtiques i estadística
topic Matrices
Vector spaces
Diagonalization
Eigenvalues
Eigenvectors
Equivalence relation
Simultaneously diagonaliation
Matrius (Matemàtica)
Espais vectorials
Àrees temàtiques de la UPC::Matemàtiques i estadística
description In this paper, the problem of simultaneous diagonalization of m-tuples of n-order square complex matrices, is analyzed and some necessary and some necessary and sufficient conditions for this property to be fulfilled are presented. This study has an interest in its applications in different areas as for example in engineering and physical sciences. For example, they appear founding when we must give the instanton solution of Yang-Mills field presented in an octonion form, and it can be represented by triples of traceless matrices. In the case where the m-tuple does not simultaneously diagonalize, the possibility of to find near of the given m-tuple, an m-tuple that diagonalize simultaneously is studied
publishDate 2019
dc.date.none.fl_str_mv 2019
2019-01-01
2019
2019-06-26
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/135365
https://dx.doi.org/10.33401/fujma.545064
url https://hdl.handle.net/2117/135365
https://dx.doi.org/10.33401/fujma.545064
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Fundamental Journal of Mathematics and Applications
publisher.none.fl_str_mv Fundamental Journal of Mathematics and Applications
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869410829031440384
score 15.300719

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