On the location of eigenvalues of matrix polynomials
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Author: Du Thi-Hoa-Binh, Lê Công-Trình, Nguyen Tran-Duc
Added by: arkiver
Added Date: 2018-06-30
Subjects: Spectral Theory, Mathematics
Publishers: arXiv.org
PDF Count: 1
Total Size: 199.78 KB
PDF Size: 181.05 KB
Extensions: pdf, torrent
Contributor: Internet Archive
License: Unknown License
Downloads: 12
Views: 62
Total Files: 6
Media Type: texts
Total Files: 2
Description
A number $\lambda \in \mathbb C $ is called an eigenvalue of the matrix polynomial $P(z)$ if there exists a nonzero vector $x \in \mathbb C^n$ such that $P(\lambda)x = 0$. Note that each finite eigenvalue of $P(z)$ is a zero of the the characteristic polynomial $\det(P(z))$. In this paper we establish some (upper and lower) bounds for eigenvalues of matrix polynomials based on the norm of their coefficient matrices and compare these bounds to those given by N.J. Higham and F. Tisseur [8].
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