FIBONACCI AND LUCAS SEQUENCES AS THE PRINCIPAL MINORS OF SOME INFINITE MATRICES

DOI10.1142/S0219498809003734zbMath1190.15033MaRDI QIDQ5851769

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Publication date: 25 January 2010

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

determinantmatrix factorizationprincipal minorsgeneralized Pascal triangleHessenberg matricesrecursive relationFibonacci and Lucas \(k\)-numbersinfinite non tridiagonal matrices

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrices of integers (15B36) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Matrices, determinants in number theory (11C20)

Related Items (max. 100)

The determinants of matrices constructed by subdiagonal, main diagonal and superdiagonal ⋮ Determinant representations of sequences: a survey

Cites Work

• Pascal-like determinants are recursive
• Determinants of matrices related to the Pascal triangle
• Advanced determinant calculus: a complement
• Fibonacci Determinants

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