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Exact Determinants of Some Special Circulant Matrices Involving Four Kinds of Famous Numbers

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  • Xiaoyu Jiang
  • Kicheon Hong

Abstract

Circulant matrix family is used for modeling many problems arising in solving various differential equations. The RSFPLR circulant matrices and RSLPFL circulant matrices are two special circulant matrices. The techniques used herein are based on the inverse factorization of polynomial. The exact determinants of these matrices involving Perrin, Padovan, Tribonacci, and the generalized Lucas number are given, respectively.

Suggested Citation

  • Xiaoyu Jiang & Kicheon Hong, 2014. "Exact Determinants of Some Special Circulant Matrices Involving Four Kinds of Famous Numbers," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-12, June.
    • Handle: RePEc:hin:jnlaaa:273680
    DOI: 10.1155/2014/273680
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    Cited by:

    1. 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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