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

2014Journal article Open access
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dc.contributor.authorLuís, Rafael
dc.contributor.authorOliveira, Henrique M.
dc.date.accessioned2021-10-26T13:15:59Z
dc.date.available2021-10-26T13:15:59Z
dc.date.issued2014
dc.description.abstractA 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.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationLuís, 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.2013.09.075pt_PT
dc.identifier.doi10.1016/j.amc.2013.09.075pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.13/3768
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherElsevierpt_PT
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/pt_PT
dc.subjectMatrix productspt_PT
dc.subjectFibonacci sequencespt_PT
dc.subjectNon-autonomous difference equationpt_PT
dc.subjectLinear recurrencespt_PT
dc.subjectMonodromy matrixpt_PT
dc.subjectFloquet multiplierspt_PT
dc.subject.pt_PT
dc.subjectFaculdade de Ciências Exatas e da Engenhariapt_PT
dc.titleProducts of 2 x 2 matrices related to non autonomous Fibonacci difference equationspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage116pt_PT
oaire.citation.startPage101pt_PT
oaire.citation.titleApplied Mathematics and Computationpt_PT
oaire.citation.volume226pt_PT
person.familyNameLuís
person.familyNameOliveira
person.givenNameRafael
person.givenNameHenrique M.
person.identifier.ciencia-idB41F-E943-D36D
person.identifier.ciencia-idD317-9198-B523
person.identifier.orcid0000-0002-5991-9164
person.identifier.orcid0000-0002-3346-4915
person.identifier.scopus-author-id7005865617
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublicationf6f56adc-c6c6-4942-b103-77ed8d688848
relation.isAuthorOfPublication6f93ef4c-6684-446e-a7e8-cfe63c1a4b1f
relation.isAuthorOfPublication.latestForDiscoveryf6f56adc-c6c6-4942-b103-77ed8d688848

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