The eigenpairs of a Sylvester–Kac type matrix associated with a simple model for one-dimensional deposition and evaporation

Detalhes bibliográficos
Autor(a) principal: Fonseca, C. M. da
Data de Publicação: 2013
Outros Autores: Mazilu, Dan A., Mazilu, Irina, Williams, H. Thomas
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/27473
https://doi.org/10.1016/j.aml.2013.06.006
Resumo: A straightforward model for deposition and evaporation on discrete cells of a finite array of any dimension leads to a matrix equation involving a Sylvester–Kac type matrix. The eigenvalues and eigenvectors of the general matrix are determined for an arbitrary number of cells. A variety of models to which this solution may be applied are discussed.
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spelling The eigenpairs of a Sylvester–Kac type matrix associated with a simple model for one-dimensional deposition and evaporationSylvester–Kac matrixEigenvaluesEigenvectorsA straightforward model for deposition and evaporation on discrete cells of a finite array of any dimension leads to a matrix equation involving a Sylvester–Kac type matrix. The eigenvalues and eigenvectors of the general matrix are determined for an arbitrary number of cells. A variety of models to which this solution may be applied are discussed.Elsevier2013-12info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/27473http://hdl.handle.net/10316/27473https://doi.org/10.1016/j.aml.2013.06.006engFONSECA, C. M. da [et. al] - The eigenpairs of a Sylvester–Kac type matrix associated with a simple model for one-dimensional deposition and evaporation. "Applied Mathematics Letters". ISSN 0893-9659. Vol. 26 Nº. 12 (2013) p. 1206-12110893-9659http://www.sciencedirect.com/science/article/pii/S0893965913001961Fonseca, C. M. daMazilu, Dan A.Mazilu, IrinaWilliams, H. Thomasinfo: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:RCAAP2020-05-25T13:08:02Zoai:estudogeral.uc.pt:10316/27473Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:00:48.163312Repositório 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 The eigenpairs of a Sylvester–Kac type matrix associated with a simple model for one-dimensional deposition and evaporation
title The eigenpairs of a Sylvester–Kac type matrix associated with a simple model for one-dimensional deposition and evaporation
spellingShingle The eigenpairs of a Sylvester–Kac type matrix associated with a simple model for one-dimensional deposition and evaporation
Fonseca, C. M. da
Sylvester–Kac matrix
Eigenvalues
Eigenvectors
title_short The eigenpairs of a Sylvester–Kac type matrix associated with a simple model for one-dimensional deposition and evaporation
title_full The eigenpairs of a Sylvester–Kac type matrix associated with a simple model for one-dimensional deposition and evaporation
title_fullStr The eigenpairs of a Sylvester–Kac type matrix associated with a simple model for one-dimensional deposition and evaporation
title_full_unstemmed The eigenpairs of a Sylvester–Kac type matrix associated with a simple model for one-dimensional deposition and evaporation
title_sort The eigenpairs of a Sylvester–Kac type matrix associated with a simple model for one-dimensional deposition and evaporation
author Fonseca, C. M. da
author_facet Fonseca, C. M. da
Mazilu, Dan A.
Mazilu, Irina
Williams, H. Thomas
author_role author
author2 Mazilu, Dan A.
Mazilu, Irina
Williams, H. Thomas
author2_role author
author
author
dc.contributor.author.fl_str_mv Fonseca, C. M. da
Mazilu, Dan A.
Mazilu, Irina
Williams, H. Thomas
dc.subject.por.fl_str_mv Sylvester–Kac matrix
Eigenvalues
Eigenvectors
topic Sylvester–Kac matrix
Eigenvalues
Eigenvectors
description A straightforward model for deposition and evaporation on discrete cells of a finite array of any dimension leads to a matrix equation involving a Sylvester–Kac type matrix. The eigenvalues and eigenvectors of the general matrix are determined for an arbitrary number of cells. A variety of models to which this solution may be applied are discussed.
publishDate 2013
dc.date.none.fl_str_mv 2013-12
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/10316/27473
http://hdl.handle.net/10316/27473
https://doi.org/10.1016/j.aml.2013.06.006
url http://hdl.handle.net/10316/27473
https://doi.org/10.1016/j.aml.2013.06.006
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv FONSECA, C. M. da [et. al] - The eigenpairs of a Sylvester–Kac type matrix associated with a simple model for one-dimensional deposition and evaporation. "Applied Mathematics Letters". ISSN 0893-9659. Vol. 26 Nº. 12 (2013) p. 1206-1211
0893-9659
http://www.sciencedirect.com/science/article/pii/S0893965913001961
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
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
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