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Convergence of a generalized method of conjugate gradients for the determination of the extremal eigenvalues of a matrix

โœ Scribed by G. V. Savinov


Publisher
Springer US
Year
1984
Tongue
English
Weight
215 KB
Volume
24
Category
Article
ISSN
1573-8795

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Estimating the extremal eigenvalues of a
โœ V. Pan ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 364 KB

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