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Eigenvalue inequalities and equalities

โœ Scribed by Horn, R


Book ID
120116009
Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
250 KB
Volume
270
Category
Article
ISSN
0024-3795

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Eigenvalue inequalities and equalities
โœ Roger A. Horn; Noah H. Rhee; So Wasin ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 610 KB

We consider cases of equality in three basic inequalities for eigenvalues of Hermitian matrices: Cauchy's interlacing inequalities for principal submatrices, Weyl's inequalities for sums, and the residual theorem. Several applications generalize and sharpen known results for eigenvalues of irreducib