The equality cases for the inequalities of Oppenheim and Schur for positive semi-definite matrices |
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| Authors: | Xiao-Dong Zhang Chang-Xing Ding |
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| Institution: | (1) Department of Mathematics, Shanghai Jiao Tong University, 800 Dongchuan road, Minhang, Shanghai, 200 240, P.R.China |
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| Abstract: | In this paper, necessary and sufficient conditions for equality in the inequalities of Oppenheim and Schur for positive semidefinite
matrices are investigated.
Supported by National Natural Science Foundation of China (No. 10531070), National Basic Research Program of China 973 Program
(No. 2006CB805900), National Research Program of China 863 Program (No. 2006AA11Z209) and the Natural Science Foundation of
Shanghai (Grant No. 06ZR14049). |
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| Keywords: | Oppenheim’ s inequality Schur’ s inequality positive semidefinite matrix Hadamard product |
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