Geršgorin discs revisited
نویسندگان
چکیده
منابع مشابه
Geometric Multiplicities and Geršgorin Discs
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.
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If A is an nxn complex matrix and λ is an eigenvalue of A with geometric multiplicity k, then λ is in at least k of the Geršgorin discs Di of A. Let k, r, t be positive integers with k ≤ r ≤ t . Then there is a t x t complex matrix A and an eigenvalue λ of A such that λ has geometric multiplicity k and algebraic multiplicity t, and λ is in precisely r Geršgorin Discs of A. Some examples and rel...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2013
ISSN: 0024-3795
DOI: 10.1016/j.laa.2012.07.027