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2014 Determinants, Norms, and the Spread of Circulant Matrices with Tribonacci and Generalized Lucas Numbers
Juan Li, Zhaolin Jiang, Fuliang Lu
Abstr. Appl. Anal. 2014(SI53): 1-9 (2014). DOI: 10.1155/2014/381829

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.

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Juan Li. Zhaolin Jiang. Fuliang Lu. "Determinants, Norms, and the Spread of Circulant Matrices with Tribonacci and Generalized Lucas Numbers." Abstr. Appl. Anal. 2014 (SI53) 1 - 9, 2014. https://doi.org/10.1155/2014/381829

Information

Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07022272
MathSciNet: MR3212418
Digital Object Identifier: 10.1155/2014/381829

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI53 • 2014
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