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Estimating Extremal Eigenvalues and Condition Numbers of Matrices

✍ Scribed by Dixon, John D.


Book ID
118185162
Publisher
Society for Industrial and Applied Mathematics
Year
1983
Tongue
English
Weight
385 KB
Volume
20
Category
Article
ISSN
0036-1429

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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