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Lower and upper bounds for the number of distinct eigenvalues of a perturbed regular matrix pencil
- Authors
- Moon, Sunyo; Park, Seungkook
- Issue Date
- Oct-2021
- Publisher
- ELSEVIER SCIENCE INC
- Keywords
- Matrix pencils; Perturbation; Spectrum
- Citation
- LINEAR ALGEBRA AND ITS APPLICATIONS, v.626, pp 171 - 187
- Pages
- 17
- Journal Title
- LINEAR ALGEBRA AND ITS APPLICATIONS
- Volume
- 626
- Start Page
- 171
- End Page
- 187
- ISSN
- 0024-3795
1873-1856
- Abstract
- We present a lower bound and an upper bound for the number of distinct eigenvalues of a regular matrix pencil perturbed by a matrix pencil of arbitrary rank. We also obtain an upper bound for the number of distinct eigenvalues of a matrix perturbed by an arbitrary rank matrix.
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