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The Bounds of the Smallest and Largest Eigenvalues for Rank-One Modification of the Hermitian Eigenvalue Problem

, , and . Applied Mathematics Letters, 25 (9): 1191 - 1196 (2012)
DOI: 10.1016/j.aml.2012.02.036

Abstract

The bounds of the smallest and largest eigenvalues for rank-one modification of the Hermitian matrices are studied in this paper. The sharper bounds are obtained. Numerical examples illustrate that our bounds give accurate estimates.

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