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- W2091276543 abstract "We prove a general theorem that gives tight bounds on the spectral norms of triangularly truncated k-Fibonacci and k-Lucas circulant matrices. The bounds are good enough to enable the calculation of the limit‖C‖‖τ(C)‖, as the dimension n approaches infinity, where τ(C) denotes the triangular truncation of C, and C is any n×n circulant matrix built using a sequence (si) satisfyingsi=ksi−1+si−2. In particular, we have that this limit is equal to the golden ratio, if C is built using either the ordinary Fibonacci or Lucas sequence." @default.
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- W2091276543 date "2014-01-01" @default.
- W2091276543 modified "2023-09-27" @default.
- W2091276543 title "Triangular truncation of k -Fibonacci and k -Lucas circulant matrices" @default.
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- W2091276543 doi "https://doi.org/10.1016/j.laa.2013.09.025" @default.
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