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Spectral inequalities and G-functions

✍ Scribed by Pedro Nowosad; Raul Tovar


Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
779 KB
Volume
31
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES


Weak majorization inequalities and conve
✍ Jaspal Singh Aujla; Fernando C. Silva πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 143 KB

Let f be a convex function defined on an interval I , 0 Ξ± 1 and A, B n Γ— n complex Hermitian matrices with spectrum in I. We prove that the eigenvalues of f (Ξ±A + (1Ξ±)B) are weakly majorized by the eigenvalues of Ξ±f (A) + (1Ξ±)f (B). Further if f is log convex we prove that the eigenvalues of f (Ξ±A +