| 含广义k-Horadam序列的RFPrLrR循环矩阵的行列式 |
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| 引用本文： | 雷林,何承源,邱涛,李笑丽.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. |
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| 作者姓名： | 雷林 何承源 邱涛 李笑丽 |
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| 作者单位： | 西华大学理学院，四川 成都 610039 |
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| 基金项目： | 四川省应用基础研究计划循环矩阵的理论及其应用(2013JY0178) |
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| 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。
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| 关 键 词： | RFPrLrR循环矩阵 RLPrFrL循环矩阵 广义k-Horadam序列 行列式 |
| 收稿时间： | 2020-12-28 |
Determinants of RFPrLrR Circulant Matrices Involving Generalized k-Horadam Numbers |
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| LEI Lin,HE Chengyuan,QIU Tao,LI Xiaoli.Determinants of RFPrLrR Circulant Matrices Involving Generalized k-Horadam Numbers[J].Journal of Xihua University:Natural Science Edition,2021,40(5):106-112. |
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| Authors: | LEI Lin HE Chengyuan QIU Tao LI Xiaoli |
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| Affiliation: | School of Science, Xihua University, Chengdu 610039 China |
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| 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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