摘要
设{Pn},{Qn}和A=flscirc(a0,a1,…,an-1)分别表示Pell数列,Pell-Lucas数列和n×n的FLS循环矩阵.本文研究当A的第一行元素ai分别为Pi,Qi,Pi^(2),Qi^(2)和PiQi(i=0,1,…,n-1)时矩阵A=flscirc(a0,a1,…,an-1)的欧几里得范数,给出带有Pell和Pell-Lucas数列的FLS循环矩阵的谱范数的边界.
Let{Pn},{Qn}and A=flscirc(a0,a1,…,an-1)respectively represent the Pell numbers,the Pell-Lucas numbers and the n×n FLS circulant matrix.This paper studies the Euclidean norm of the matrix A=flscirc(a0,a1,…,an-1)when its elements ai in the first row are Pi,Qi,Pi^(2),Qi^(2)and PiQi(i=0,1,…,n-1),respectively,and gives the boundary to the spectral norm of the FLS circulant matrix with Pell or Pell-Lucas numbers.
作者
雷林
李笑丽
邱涛
何承源
Lei Lin;Li Xiaoli;Qiu Tao;He Chengyuan(School of Science,Xihua University,Chengdu 610039,China)
出处
《数学理论与应用》
2019年第3期13-24,共12页
Mathematical Theory and Applications
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)资助
