| 基于两类切比雪夫多项式的循环矩阵行列式的计算 |
| |
| 引用本文： | 张颖.基于两类切比雪夫多项式的循环矩阵行列式的计算[J].数学学习,2022,25(1):60-63. |
| |
| 作者姓名： | 张颖 |
| |
| 作者单位： | 大连海事大学理学院,辽宁大连116026 |
| |
| 摘 要： | 利用多项式因式分解的逆变换,结合循环矩阵和切比雪夫多项式的特殊结构,首先研究第三类和第四类切比雪夫多项式的通项公式,并给出第三类、第四类切比雪夫多项式的关于行首加r尾r右循环矩阵和行尾加r首r左循环矩阵的行列式的显式表达式,最后给出算法实施步骤.
|
| 关 键 词： | 行首加r尾r右循环矩阵 行尾加r首r左循环矩阵 切比雪夫多项式 行列式 |
Determinants of Circulant Matrices of Two Kinds of Chebyshev Polynomials |
| |
| ZHANG Ying.Determinants of Circulant Matrices of Two Kinds of Chebyshev Polynomials[J].Studies In College Mathematics,2022,25(1):60-63. |
| |
| Authors: | ZHANG Ying |
| |
| Institution: | (School of Science, Dalian Maritime University, Dalian 116026, China) |
| |
| Abstract: | Using the inverse factorization of polynomial and the special construction of circulant matrices and Chebyshev polynomials,the general formulas of the third and fourth kinds of Chebyshev polynomials are given and then the determinant formulas of RFPrLrR and RLPrFrL circulant matrices of the third and fourth kinds of Chebyshev polynomials are provided. |
| |
| Keywords: | RFPrLrR circulant matrix RLPrFrL circulant matrix Chebyshev polynomials determinant |
| 本文献已被 维普 万方数据 等数据库收录！ |
