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The eigenvalue spectrum of a large symmetric random matrix with a finite mean

✍ Scribed by Jones, R C; Kosterlitz, J M; Thouless, D J


Book ID
121754399
Publisher
Institute of Physics
Year
1978
Tongue
English
Weight
216 KB
Volume
11
Category
Article
ISSN
0305-4470

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Almtraet--Lower and upper bounds on the absolute values of the eigenvalues of an n x n real symmetric matrix A are given by (trace A ,,)t/m for both negative and positive even m. (The bounds are within a factor of 2 from the eigenvalues already for m > log 2 n.) We present algorithms for computing t