分块正定矩阵极大极小特征值的界（英文）  

Bounds for extreme eigenvalues of scaled block positive definite matrices

作　　者：葛玉燕 杨建生[1] GE Yuyan;YANG Jiansheng(College of Sciences,Shanghai University,Shanghai 200444,China)

机构地区：[1]上海大学理学院,上海200444

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)

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.

关 键 词：特征值极值 分块矩阵的半带宽 界 正定矩阵 

分 类 号：O29[理学—应用数学]