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

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  • Juan Li
  • Zhaolin Jiang
  • Fuliang Lu

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.

Suggested Citation

  • Juan Li & Zhaolin Jiang & Fuliang Lu, 2014. "Determinants, Norms, and the Spread of Circulant Matrices with Tribonacci and Generalized Lucas Numbers," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, May.
    • Handle: RePEc:hin:jnlaaa:381829
    DOI: 10.1155/2014/381829
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    Cited by:

    1. Yüksel Soykan, 2019. "Tribonacci and Tribonacci-Lucas Sedenions," Mathematics, MDPI, vol. 7(1), pages 1-19, January.
    2. Zhaolin Jiang & Weiping Wang & Yanpeng Zheng & Baishuai Zuo & Bei Niu, 2019. "Interesting Explicit Expressions of Determinants and Inverse Matrices for Foeplitz and Loeplitz Matrices," Mathematics, MDPI, vol. 7(10), pages 1-19, October.

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