关于Chebyshev多项式的H-循环矩阵谱范数

Research on the Spectral Norms of H-circulant Matrices with Chebyshev Polynomials

利用Chebyshev多项式的性质和矩阵基本理论,研究了包含Chebyshev多项式的H-循环矩阵欧式范数及谱范数,给出了第一、二类Chebyshev多项式的H-循环矩阵谱范数的上下界估计。

Using the properties of Chebyshev polynomials and the basic theory of matrices,the Euclidean norm and spectral norm of H-circulant matrices containing Chebyshev polynomials are studied.The upper and lower bounds for the spectral norms of H-circulant matrix are given,which entrance are the first and second class Chebyshev polynomials.