| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4601658 | Linear Algebra and its Applications | 2010 | 9 Pages |
Abstract
The purpose of this paper is to discuss the estimation of eigenvalues and the smallest singular value of matrices. Firstly, we prove that all the eigenvalues of arbitrarily complex matrix are located in one closed disk around trMn of radiusn-1n‖M‖F2-|trM|2n-max1⩽k⩽n-1‖Bk×(n-k)‖F-‖C(n-k)×k‖F2.Secondly, we present a lower bound for the smallest singular value of matrices. Finally, we give some numerical examples which will show the effectiveness of our results.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Limin Zou, Youyi Jiang,