Products of 2 x 2 matrices related to non autonomous Fibonacci difference equations

Detalhes bibliográficos
Autor(a) principal: Luís, Rafael
Data de Publicação: 2014
Outros Autores: Oliveira, Henrique M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.13/3768
Resumo: A technique to compute arbitrary products of a class of Fibonacci 2 2 square matrices is proved in this work. General explicit solutions for non autonomous Fibonacci difference equations are obtained from these products. In the periodic non autonomous Fibonacci dif ference equations the monodromy matrix, the Floquet multipliers and the Binet’s formulas are obtained. In the periodic case explicit solutions are obtained and the solutions are analyzed.
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spelling Products of 2 x 2 matrices related to non autonomous Fibonacci difference equationsMatrix productsFibonacci sequencesNon-autonomous difference equationLinear recurrencesMonodromy matrixFloquet multipliers.Faculdade de Ciências Exatas e da EngenhariaA technique to compute arbitrary products of a class of Fibonacci 2 2 square matrices is proved in this work. General explicit solutions for non autonomous Fibonacci difference equations are obtained from these products. In the periodic non autonomous Fibonacci dif ference equations the monodromy matrix, the Floquet multipliers and the Binet’s formulas are obtained. In the periodic case explicit solutions are obtained and the solutions are analyzed.ElsevierDigitUMaLuís, RafaelOliveira, Henrique M.2021-10-26T13:15:59Z20142014-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.13/3768engLuís, R., & Oliveira, H. M. (2014). Products of 2× 2 matrices related to non autonomous Fibonacci difference equations. Applied Mathematics and Computation, 226, 101-116. 10.1016/j.amc.2013.09.07510.1016/j.amc.2013.09.075info: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:RCAAP2023-03-19T05:36:12Zoai:digituma.uma.pt:10400.13/3768Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T15:07:09.836986Repositório 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 Products of 2 x 2 matrices related to non autonomous Fibonacci difference equations
title Products of 2 x 2 matrices related to non autonomous Fibonacci difference equations
spellingShingle Products of 2 x 2 matrices related to non autonomous Fibonacci difference equations
Luís, Rafael
Matrix products
Fibonacci sequences
Non-autonomous difference equation
Linear recurrences
Monodromy matrix
Floquet multipliers
.
Faculdade de Ciências Exatas e da Engenharia
title_short Products of 2 x 2 matrices related to non autonomous Fibonacci difference equations
title_full Products of 2 x 2 matrices related to non autonomous Fibonacci difference equations
title_fullStr Products of 2 x 2 matrices related to non autonomous Fibonacci difference equations
title_full_unstemmed Products of 2 x 2 matrices related to non autonomous Fibonacci difference equations
title_sort Products of 2 x 2 matrices related to non autonomous Fibonacci difference equations
author Luís, Rafael
author_facet Luís, Rafael
Oliveira, Henrique M.
author_role author
author2 Oliveira, Henrique M.
author2_role author
dc.contributor.none.fl_str_mv DigitUMa
dc.contributor.author.fl_str_mv Luís, Rafael
Oliveira, Henrique M.
dc.subject.por.fl_str_mv Matrix products
Fibonacci sequences
Non-autonomous difference equation
Linear recurrences
Monodromy matrix
Floquet multipliers
.
Faculdade de Ciências Exatas e da Engenharia
topic Matrix products
Fibonacci sequences
Non-autonomous difference equation
Linear recurrences
Monodromy matrix
Floquet multipliers
.
Faculdade de Ciências Exatas e da Engenharia
description A technique to compute arbitrary products of a class of Fibonacci 2 2 square matrices is proved in this work. General explicit solutions for non autonomous Fibonacci difference equations are obtained from these products. In the periodic non autonomous Fibonacci dif ference equations the monodromy matrix, the Floquet multipliers and the Binet’s formulas are obtained. In the periodic case explicit solutions are obtained and the solutions are analyzed.
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-01-01T00:00:00Z
2021-10-26T13:15:59Z
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/10400.13/3768
url http://hdl.handle.net/10400.13/3768
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Luís, R., & Oliveira, H. M. (2014). Products of 2× 2 matrices related to non autonomous Fibonacci difference equations. Applied Mathematics and Computation, 226, 101-116. 10.1016/j.amc.2013.09.075
10.1016/j.amc.2013.09.075
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 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
repository.mail.fl_str_mv
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