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Article
Eigenvalue continuity and Gersgorin's theorem
Journal of Linear Algebra
Document Type
Article
Publication Date
12-9-2019
Keywords
- Eigenvalue continuity,
- Gerˇsgorin disk theorem,
- Root continuity
Disciplines
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.
DOI
10.13001/ela.2019.5179
Citation Information
Chi-Kwong Li and Fuzhen Zhang. "Eigenvalue continuity and Gersgorin's theorem" Journal of Linear Algebra Vol. 35 (2019) p. 619 - 625 ISSN: 1081-3810 Available at: http://works.bepress.com/fuzhen-zhang/177/