Abstract
Given two n-by-n complex matrices, one is Hermitian and one is positive semidefinite, all of the n eigenvalues (counting multiplicities) of the product of the given matrices are necessarily real. Selecting any k of the n eigenvalues, we present lower and upper bounds for the sum of these k selected eigenvalues. Our results extend and complement the existing ones.
| Original language | American English |
|---|---|
| State | Published - Sep 20 2019 |
Disciplines
- Mathematics
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