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关于Chebyshev多项式的首尾差r-循环矩阵的行列式
Determinants of FLDcirc_r Matrices with Chebyshev Polynomials
【摘要】 基于多项式因式分解的逆变换,主要研究包含第一、二类Chebyshev多项式的首尾差r-循环矩阵和首尾差r-左循环矩阵的行列式,给出由Chebyshev多项式及参数r确定的具体表达式,最后给出一个具体的数值例子.
【Abstract】 Based on the inverse transformation of polynomial factorization,the determinants of FLDcirc_r and FLDLcirc_r matrices with the first and second Chebyshev polynomials are studied. We give the specific expressions determined by Chebyshev polynomials and parameters. Finally,the correctness of the theorem is verified by a concrete example.
【关键词】 首尾差r-循环矩阵;
首尾差r-左循环矩阵;
Chebyshev多项式;
行列式;
因式分解;
【Key words】 FLDcirc_r matrices; FLDLcirc_r matrices; chebyshev polynomials; determinant; factorization;
【Key words】 FLDcirc_r matrices; FLDLcirc_r matrices; chebyshev polynomials; determinant; factorization;
【基金】 四川省应用基础研究计划“循环矩阵的理论研究及其应用”(2013JY0178)
- 【文献出处】 四川师范大学学报(自然科学版) ,Journal of Sichuan Normal University(Natural Science) , 编辑部邮箱 ,2021年04期
- 【分类号】O151.21;O174.14
- 【下载频次】52