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Exact determinants and inverses of generalized Lucas skew circulant type matrices

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  • Zheng, Yanpeng
  • Shon, Sugoog

Abstract

In this paper, we consider generalized Lucas skew circulant type matrices, including the skew circulant and skew left circulant. Firstly, we discuss the invertibility of generalized Lucas skew circulant matrix and present the determinant and the inverse matrix by constructing the transformation matrices. Furthermore, the invertibility of generalized Lucas skew left circulant matrix is also discussed. The determinant and the inverse matrix of generalized Lucas skew left circulant matrix are obtained respectively.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:270:y:2015:i:c:p:105-113
    DOI: 10.1016/j.amc.2015.08.021
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    References listed on IDEAS

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    1. 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.
    2. Jiang, Zhaolin & Zhou, Jianwei, 2015. "A note on spectral norms of even-order r-circulant matrices," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 368-371.
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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. 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.
    3. Zheng, Yanpeng & Jiang, Xiaoyu & Chen, Xiaoting & Alsaadi, Fawaz, 2020. "More extensions of a determinant inequality of Hartfiel," Applied Mathematics and Computation, Elsevier, vol. 369(C).

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