Complex metapositive semidefinite matrices
Yuan Hui-ping · Journal of the University of Shanghai for Science and Technology · 2002
The concept of complex metapositive semidefinite matrix is given, its properties and determinant theories are discussed, and then the Schur theorem, Hua Luo-geng theorem, Minkowski inequality, Protruding property inequality and Ostrowski-Taussky inequality of Hermite matrices are generalized to more extensive compound matrix genus. The index scope of Minkowski inequality is enlarged and the condition of Hua Luo-geng inequality is weakened.