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YUAN Hui-ping
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Abstract: The concept of generalized positive subdefinite matrix is given, and its properties and determinant theories are discussed, and many new results are obtained. As application, some famous theorems and inequalities named after Schur, HUA Loo-geng, Minkowski,Hadamard, Openheim and Ostrowski-T aussy are generalized, and the index scope of Minkowski inequality is enlarged.
Key words: generalized positive subdefinite matrix, metaposi tive subdefinite matrix, determinant, inequality
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YUAN Hui-ping. Determinantal inequality of generalized positive subdefinite matrices[J].J4, 2004, 42(03): 346-350.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2004/V42/I03/346
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