SINGULAR CASE OF GENERALIZED FIBONACCI AND LUCAS MATRICES

DOI10.4134/JKMS.2011.48.1.033zbMath1226.05017OpenAlexW2068710865MaRDI QIDQ3066861

Marko B. Miladinović, Predrag S. Stanimirović

Publication date: 12 January 2011

Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4134/jkms.2011.48.1.033

zbMATH Keywords

Lucas numbersgeneralized Fibonacci numbersLucas matrixgeneralized Fibonacci matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Matrices, determinants in number theory (11C20)

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Moore–Penrose inverse of generalized Fibonacci matrix and its applications, Determinants and inverses of circulant matrices with Jacobsthal and Jacobsthal-Lucas numbers, Exact determinants of some special circulant matrices involving four kinds of famous numbers, Explicit determinants of the RFP\(r\)L\(r\)R circulant and RLP\(r\)F\(r\)L circulant matrices involving some famous numbers, On the determinants and inverses of circulant matrices with Fibonacci and Lucas numbers

Uses Software

• Mathematica