广义次正定矩阵的行列式不等式

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Determinantal inequality of generalized positive subdefinite matrices

YUAN Hui-ping

School of Sciences, Chongqing University of Technology and Business, Chongqing 400067, China

Received:2003-10-28 Revised:1900-01-01 Online:2004-07-26 Published:2004-07-26
Contact: YUAN Hui-ping

Abstract

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

CLC Number:

O151.21

YUAN Hui-ping. Determinantal inequality of generalized positive subdefinite matrices[J].J4, 2004, 42(03): 346-350.

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Determinantal inequality of generalized positive subdefinite matrices

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