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On Q-circulant matrices

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Abstract

In this paper, we generalize the concepts of circulant matrix, r-circulant matrix, \((r,\,m)\)-circulant like matrix, H-circulant matrix and s-H-circulant matrix, and a new type of matrix called Q-circulant matrix is introduced, where Q is a non-derogatory matrix. The algebraic structure, eigenvalues and inverses of Q-circulant matrices are studied. Moreover, the eigenvalues of Q-circulant matrices whose entries are Horadam, Fibonacci, Jacobsthal, Pell numbers and arithmetic sequences are given.

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Authors and Affiliations

  1. School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, People’s Republic of China

    Hongjian Li, Weilin Zhang & Pingzhi Yuan

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  1. Hongjian Li
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  2. Weilin Zhang
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  3. Pingzhi Yuan
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Correspondence to Pingzhi Yuan.

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Communicated by Xiang Wang.

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Supported by National Natural Science Foundation of China (Grant No. 12171163).

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Li, H., Zhang, W. & Yuan, P. On Q-circulant matrices. Comp. Appl. Math. 43, 154 (2024). https://doi.org/10.1007/s40314-024-02683-w

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  • DOI: https://doi.org/10.1007/s40314-024-02683-w

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