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雷林，何承源，邱涛，等. 含广义k-Horadam序列的RFPrLrR循环矩阵的行列式[J]. 西华大学学报（自然科学版），2021，40（5）：106 − 112 . doi: 10.12198/j.issn.1673-159X.3702
引用本文: 雷林，何承源，邱涛，等. 含广义k-Horadam序列的RFPrLrR循环矩阵的行列式[J]. 西华大学学报（自然科学版），2021，40（5）：106 − 112 . doi: 10.12198/j.issn.1673-159X.3702
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LEI Lin, HE Chengyuan, QIU Tao, et al. Determinants of RFPrLrR Circulant Matrices Involving Generalized k-Horadam Numbers[J]. Journal of Xihua University（Natural Science Edition）, 2021, 40（5）: 106 − 112. . DOI: 10.12198/j.issn.1673-159X.3702
Citation: LEI Lin, HE Chengyuan, QIU Tao, et al. Determinants of RFPrLrR Circulant Matrices Involving Generalized k-Horadam Numbers[J]. Journal of Xihua University（Natural Science Edition）, 2021, 40（5）: 106 − 112. . DOI: 10.12198/j.issn.1673-159X.3702
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含广义k-Horadam序列的RFPrLrR循环矩阵的行列式

Determinants of RFPrLrR Circulant Matrices Involving Generalized k-Horadam Numbers

    摘要
  • 摘要: RFPrLrR循环矩阵和RLPrFrL循环矩阵是矩阵研究中的两类特殊循环矩阵。本文根据广义k-Horadam序列和RFPrLrR循环矩阵的结构性质，利用多项式因式分解的逆变换，给出了带有广义k-Horadam序列的RFPrLrR和RLPrFrL循环矩阵的行列式。最后，本文通过数值例子验证了结果的正确性。

     

    Abstract: The RFPrLrR and RLPrFrL circulant matrices are two kind of special matrices in matrix research. Using the structural properties of generalized k-Horadam sequences and RFPrLrR circulant matrices and the inverse transformation of polynomial factoring, the determinants of the RFPrLrR and RLPrFrL circulant matrices with generalized k-Horadam numbers are obtained, respectivly. Finally, the correctness of the results is verified by numerical example.

     

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