摘要
给出了复亚半正定矩阵的概念,研究了它的基本性质及行列式理论,将Hermite阵的Schur定理华罗庚定理Minkowski不等式凸性不等式Ostrowski-Taussky不等式推广到了较广泛的复矩阵类,扩大了Minkowski不等式的指数范围,削弱了华罗庚不等式的条件.
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.
出处
《上海理工大学学报》
CAS
北大核心
2002年第3期214-217,221,共5页
Journal of University of Shanghai For Science and Technology
基金
重庆市教委科学基金资助项目(981002)
