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.References
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Additional Information
- Bo-Yan Xi
- Affiliation: College of Mathematics, Inner Mongolia University for Nationalities, Tongliao City, Inner Mongolia Autonomous Region, 028043, People’s Republic of China
- MR Author ID: 315280
- Email: baoyintu78@imun.edu.cn
- Fuzhen Zhang
- Affiliation: Department of Mathematics, Nova Southeastern University, 33301 College Avenue, Fort Lauderdale, Florida 33314
- MR Author ID: 246853
- Email: zhang@nova.edu
- Received by editor(s): September 10, 2018
- Received by editor(s) in revised form: December 15, 2018
- Published electronically: March 26, 2019
- Additional Notes: 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. - Communicated by: Stephan Ramon Garcia
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 147 (2019), 3705-3713
- MSC (2010): Primary 15A42; Secondary 47A75
- DOI: https://doi.org/10.1090/proc/14529
- MathSciNet review: 3993764