POWERS OF THE GENERATING MATRIX FOR THE GENERALIZED FIBONACCI SEQUENCE OF ORDER k

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dc.contributor.authorTangboonduangjit A.
dc.contributor.authorWanasawat S.
dc.contributor.correspondenceTangboonduangjit A.
dc.contributor.otherMahidol University
dc.date.accessioned2025-03-24T18:17:24Z
dc.date.available2025-03-24T18:17:24Z
dc.date.issued2025-04-01
dc.description.abstractWe establish that under certain conditions, the generating matrix for the generalized Fibonacci sequence of order k can be diagonalized by a Vandermonde matrix. The purpose of this work is to investigate the properties of the generating matrix for the generalized Fibonacci sequence of order k and to derive new results related to its diagonalizability and applications. The results include a closed-form expression for the matrix’s powers and the determinant of a related Toeplitz matrix.
dc.identifier.citationICIC Express Letters Vol.19 No.4 (2025) , 403-410
dc.identifier.doi10.24507/icicel.19.04.403
dc.identifier.issn1881803X
dc.identifier.scopus2-s2.0-86000666089
dc.identifier.urihttps://repository.li.mahidol.ac.th/handle/123456789/106798
dc.rights.holderSCOPUS
dc.subjectComputer Science
dc.subjectEngineering
dc.titlePOWERS OF THE GENERATING MATRIX FOR THE GENERALIZED FIBONACCI SEQUENCE OF ORDER k
dc.typeArticle
mu.datasource.scopushttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=86000666089&origin=inward
oaire.citation.endPage410
oaire.citation.issue4
oaire.citation.startPage403
oaire.citation.titleICIC Express Letters
oaire.citation.volume19
oairecerif.author.affiliationMahidol University
oairecerif.author.affiliationThammasat University

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