Complex random matrices have no real eigenvalues
نویسندگان
چکیده
منابع مشابه
Almost All Integer Matrices Have No Integer Eigenvalues
In a recent issue of this MONTHLY, Hetzel, Liew, and Morrison [4] pose a rather natural question: what is the probability that a random n× n integer matrix is diagonalizable over the field of rational numbers? Since there is no uniform probability distribution on Z, we need to exercise some care in interpreting this question. Specifically, for an integer k ≥ 1, let Ik = {−k,−k + 1, . . . , k − ...
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ژورنال
عنوان ژورنال: Random Matrices: Theory and Applications
سال: 2018
ISSN: 2010-3263,2010-3271
DOI: 10.1142/s2010326317500149