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.
| Original language | American English |
|---|---|
| Pages (from-to) | 3705-3713 |
| Number of pages | 9 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 147 |
| Issue number | 9 |
| DOIs | |
| State | Published - Sep 1 2019 |
Bibliographical note
Publisher Copyright:© 2019 American Mathematical Society.
Funding
Received by the editors September 10, 2018, and, in revised form, December 15, 2018. 2010 Mathematics Subject Classification. Primary 15A42; Secondary 47A75. Key words and phrases. Eigenvalue, Hermitian matrix, inequality, positive semidefinite matrix. The first author was supported in part by the National Natural Science Foundation of China grant No. 11361038. The second author was supported in part by an NSU Research Scholar grant.
| Funders | Funder number |
|---|---|
| National Natural Science Foundation of China | 11361038 |
| Namseoul University |
ASJC Scopus Subject Areas
- General Mathematics
- Applied Mathematics
Keywords
- Eigenvalue
- Hermitian matrix
- Inequality
- Positive semidefinite matrix
Disciplines
- Mathematics
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