包含Jacobsthal和Jacobsthal-Lucas数的r-循环矩阵的谱范数

摘要

In this paper we study the norms of r-circulant matrices A =Cr (J0,J1,…,Jn-1) and B =Cr (D0,D1,…,Dn-1) where Jn and Dn are Jacobsthal and Jacobsthal-Lucas numbers,and give some bounds for the spectral norms of Kronecker and Hadamard products ofthe r-matrices A and B.%本文研究元素分别是Jacobsthal数列和Jacobsthal-Lucas数列的r-循环矩阵A=Cr(J0,J1,…,Jn-1)和B=Cr(D0,D1,…,Dn-1)得到了矩阵谱范数的上下界,以及两矩阵克罗内克积和阿达玛积后的谱范数上下界.