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
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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。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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