Geometric Multiplicities and Geršgorin Discs
نویسندگان
چکیده
If A is an n × n complex matrix and λ is an eigenvalue of A with geometric multiplicity k, then λ is in at least k of the n Geršgorin discs of A.
منابع مشابه
On the Location of Eigenvalues of Real Matrices
The research in this paper is motivated by a recent work of I. Barany and J. Solymosi [I. Barany and J. Solymosi. Gershgorin disks for multiple eigenvalues of non-negative matrices. Preprint arXiv no. 1609.07439, 2016.] about the location of eigenvalues of nonnegative matrices with geometric multiplicity higher than one. In particular, an answer to a question posed by Barany and Solymosi, about...
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عنوان ژورنال:
- The American Mathematical Monthly
دوره 120 شماره
صفحات -
تاریخ انتشار 2013