Lower and upper bounds for the number of distinct eigenvalues of a perturbed regular matrix pencil
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초록

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.

키워드

Matrix pencilsPerturbationSpectrum
제목
Lower and upper bounds for the number of distinct eigenvalues of a perturbed regular matrix pencil
저자
Moon, SunyoPark, Seungkook
DOI
10.1016/j.laa.2021.05.017
발행일
2021-10
유형
Article
저널명
Linear Algebra and Its Applications
626
페이지
171 ~ 187