吉林大学学报（理学版）2016，Vol.54Issue(3)：513-517,5.DOI:10.13413/j.cnki.jdxblxb.2016.03.19
Hermitian 随机矩阵特征值
Eigenvalues of the Hermitian Random Matrices
摘要
Abstract
Using the moment methods of the random matrix theory,we studied the limit properties of extreme eigenvalues of a class of Hermitian random matrices.The result shows that the extreme eigenvalue of the Hermitian random matrices H n is bounded almost everywhere,especially for any fixed integer m,lim inf n→∞λm 1 n H æ è ç ö ø ÷ n ≥ 2σ,lim sup n→∞λn-m 1 n H æ è ç ö ø ÷ n ≤- 2σ,whereσ2 =min k,lσ2kl .关键词
Hermitian 矩阵/分块矩阵/极端特征值/谱性质Key words
Hermitian matrix/block matrix/extreme eigenvalue/spectral property分类
数理科学引用本文复制引用
马明玥,付志慧..Hermitian 随机矩阵特征值[J].吉林大学学报（理学版）,2016,54(3):513-517,5.基金项目
国家自然科学基金(批准号:11201313) （批准号:11201313）
