Inequalities for selected eigenvalues of the product of matrices

Xi, Bo-Yan; Zhang, Fuzhen

doi:10.1090/proc/14529

Inequalities for selected eigenvalues of the product of matrices
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by Bo-Yan Xi and Fuzhen Zhang PDF

Proc. Amer. Math. Soc. 147 (2019), 3705-3713 Request permission

Abstract:

The product of a Hermitian matrix and a positive semidefinite matrix has only real eigenvalues. We present bounds for sums of eigenvalues of such a product.

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