Determinants and Permanents of Hessenberg Matrices with Fibonacci-Like Sequences

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In this paper, we consider Hessenberg matrices and Fibonacci-Like sequences that is defined by therecurrence relation Tn = Tn−1 + Tn−2, n ≥ 2 and T0 = m, T1 = m where m is a fixed positive integer. We define twon × n Hessenberg matrices with applications to the Fibonacci-Like sequences and investigate the determinantal andpermanental properties. We obtain that the determinants and permanents of these Hessenberg matrices are equal tothe nth term of Fibonacci-Like sequences.

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AlanDeğerDil
dc.contributor.authorIŞIK, Fikret
dc.contributor.authorTAŞYURDU, Yasemin
dc.date.accessioned2026-10-18T21:11:55.101669352Z
dc.date.available2026-10-18T21:11:55.101669352Z
dc.date.issued2019
dc.description.abstractIn this paper, we consider Hessenberg matrices and Fibonacci-Like sequences that is defined by therecurrence relation Tn = Tn−1 + Tn−2, n ≥ 2 and T0 = m, T1 = m where m is a fixed positive integer. We define twon × n Hessenberg matrices with applications to the Fibonacci-Like sequences and investigate the determinantal andpermanental properties. We obtain that the determinants and permanents of these Hessenberg matrices are equal tothe nth term of Fibonacci-Like sequences.
dc.identifier.eissn2148-1830
dc.identifier.endpage71
dc.identifier.issue-
dc.identifier.startpage65
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/19903
dc.identifier.volume11
dc.language.isoen
dc.relation.ispartofTurkish Journal of Mathematics and Computer Science
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectFolklor
dc.subjectSanat
dc.titleDeterminants and Permanents of Hessenberg Matrices with Fibonacci-Like Sequences
dc.typeArticle
dspace.entity.typePublication
rdl.citation.trdizin0
rdl.departmentERZİNCAN BİNALİ YILDIRIM ÜNİVERSİTESİ
rdl.source.indexTRDIZIN