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Selected Works of Fuzhen Zhang
Article
Inequalities for Selected Eigenvalues of the Product of Matrices
Proceedings of the American Mathematical Society
  • Bo-Yan Xi, Inner Mongolia University for Nationalities - Tongliao City, China
  • Fuzhen Zhang, Nova Southeastern University
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Document Type
Article
Publication Date
9-1-2019
Keywords
  • Eigenvalue,
  • Hermitian matrix,
  • Inequality,
  • Positive semidefinite matrix
Disciplines
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.

Comments

©2019 American Mathematical Society

Additional Comments
National Natural Science Foundation of China grant #: 11361038
DOI
10.1090/proc/14529
Citation Information
Bo-Yan Xi and Fuzhen Zhang. "Inequalities for Selected Eigenvalues of the Product of Matrices" Proceedings of the American Mathematical Society Vol. 147 Iss. 9 (2019) p. 3705 - 3713 ISSN: 0002-9939
Available at: http://works.bepress.com/fuzhen-zhang/174/