Determinants, Norms, and the Spread of Circulant Matrices with Tribonacci and Generalized Lucas Numbers

Juan Li, Zhaolin Jiang and Fuliang Lu

Abstract and Applied Analysis, 2014, vol. 2014, 1-9

Abstract:

Circulant matrices play an important role in solving ordinary and partial differential equations. In this paper, by using the inverse factorization of polynomial of degree n , the explicit determinants of circulant and left circulant matrix involving Tribonacci numbers or generalized Lucas numbers are expressed in terms of Tribonacci numbers and generalized Lucas numbers only. Furthermore, four kinds of norms and bounds for the spread of these matrices are given, respectively.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:381829

DOI: 10.1155/2014/381829

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