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Rearrangement inequalities for Hermitian matrices |
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| Authors: | Lin Tie Kai-Yuan Cai Yan Lin |
| Institution: | School of Automation Science and Electrical Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, PR China |
| Abstract: | Hermitian matrices can be thought of as generalizations of real numbers. Many matrix inequalities, especially for Hermitian matrices, are derived from their scalar counterparts. In this paper, the Hardy-Littlewood-Pólya rearrangement inequality is extended to Hermitian matrices with respect to determinant, trace, Kronecker product, and Hadamard product. |
| Keywords: | Matrix inequalities Rearrangement inequality Hermitian matrices Determinant Permanent Trace Kronecker product Hadamard product |
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