On the second real eigenvalue of nonnegative and Z-matrices

被引：10

作者：

Friedland, S ^{[1
]}

Nabben, R ^{[1
]}

机构：

[1] UNIV BIELEFELD,FAK MATH,D-33501 BIELEFELD,GERMANY

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1997年 / 255卷

关键词：

D O I：

10.1016/S0024-3795(96)00033-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give bounds for the second real eigenvalue of nonegative matrices and Z-matrices. Furthermore, we establish upper bounds for the maximal spectral radii of principal submatrices of nonnegative matrices. Using these bounds, we prove that our inequality for the second real eigenvalue of the adjacency matrix of a connected regular graph improves a well-known bound for the second eigenvalue using Cheeger's inequality. (C) Elsevier Science Inc., 1997.

引用

页码：303 / 313

页数：11

共 9 条

[1]

CHEEGER J., 1970, Problems in Analysis, P195

[2] A CLASSIFICATION OF MATRICES OF CLASS-Z [J].