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Explicit inverse matrices of Tribonacci skew circulant type matrices

Author

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  • Jiang, Xiaoyu
  • Hong, Kicheon

Abstract

The determinants and inverses of Tribonacci skew circulant type matrices are discussed in the paper. Firstly, Tribonacci skew circulant type matrices are defined. In addition, we show the invertibility of the Tribonacci skew circulant matrix and present the determinant and the inverse matrix based on constructing the transformation matrices. By utilizing the relation between circulant and left circulant, the invertibility of the Tribonacci skew left circulant are also discussed. Finally, the determinants and the inverse matrices of these matrices are given, respectively.

Suggested Citation

  • Jiang, Xiaoyu & Hong, Kicheon, 2015. "Explicit inverse matrices of Tribonacci skew circulant type matrices," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 93-102.
    • Handle: RePEc:eee:apmaco:v:268:y:2015:i:c:p:93-102
    DOI: 10.1016/j.amc.2015.05.103
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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.
    2. Florek, Wojciech, 2018. "A class of generalized Tribonacci sequences applied to counting problems," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 809-821.
    3. Jiang, Zhao-Lin & Tang, Xia, 2016. "Analysis of the structured perturbation for the BSCCB linear system," Applied Mathematics and Computation, Elsevier, vol. 277(C), pages 1-9.
    4. Jiang, Xiaoyu & Hong, Kicheon, 2017. "Skew cyclic displacements and inversions of two innovative patterned Matrices," Applied Mathematics and Computation, Elsevier, vol. 308(C), pages 174-184.
    5. Zheng, Yanpeng & Shon, Sugoog, 2015. "Exact determinants and inverses of generalized Lucas skew circulant type matrices," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 105-113.

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