Mathematics Faculty Articles
Document Type
Article
Publication Date
12-9-2019
Publication Title
Journal of Linear Algebra
Keywords
Eigenvalue continuity, Gerˇsgorin disk theorem, Root continuity
ISSN
1081-3810
Volume
35
First Page
619
Last Page
625
Abstract
Two types of eigenvalue continuity are commonly used in the literature. However, their meanings and the conditions under which continuities are used are not always stated clearly. This can lead to some confusion and needs to be addressed. In this note, the Geršgorin disk theorem is revisited and the issue concerning the proofs of the theorem by continuity is clarified.
NSUWorks Citation
Li, Chi-Kwong and Zhang, Fuzhen, "Eigenvalue continuity and Gersgorin's theorem" (2019). Mathematics Faculty Articles. 304.
https://nsuworks.nova.edu/math_facarticles/304
DOI
10.13001/ela.2019.5179
