摘要
Kolotilina在研究分块Hermitian矩阵的特征值时(Kolotilina L Y. Bounds for eigenvalues of symmetric block Jacobi scaled matrices. J Math Sci, 1996, 79:1043-1047),得到了有关特征值极大值与极小值的某些界.本文进一步研究这个界,得到了更优的结果.
Kolotilina derived some bounds for the largest or smallest eigenvalues of scaled block Hermitian matrices(Kolotilina L Y.Bounds for eigenvalues of sym-metric block Jacobi scaled matrices.J Math Sci,1996,79:1043-1047).In this paper,we further study the bounds and present some improvements of Kolotilina’s results.
作者
葛玉燕
杨建生
GE Yuyan;YANG Jiansheng(College of Sciences,Shanghai University,Shanghai 200444,China)
出处
《应用数学与计算数学学报》
2018年第3期703-706,共4页
Communication on Applied Mathematics and Computation
基金
supported by the National Natural Science Foundation of China(61072147)
the Natural Science Foundation of Shanghai(09ZR1410800)
the Shanghai Leading Academic Discipline Project(J50101)
关键词
特征值极值
分块矩阵的半带宽
界
正定矩阵
extreme eigenvalue
block semibandwidth
bounds
positive definite matrix
