复矩阵的亚半正定性  

Properties of Complex Meta-positive Semidefinite Matrices

作　　者：袁晖坪[1] 

机构地区：[1]渝州大学数学系,重庆400033

出　　处：《工科数学》2001年第4期32-37,共6页Journal of Mathematics For Technology

基　　金：重庆市教委科学基金资助项目 (981 0 0 2 )

摘　　要：复亚半正定矩阵是 Hermite正定阵的推广 ,研究了它的 Kronecker积、Hadamard积和行列式理论 ,将实对称阵的 Schur定理、华罗庚定理、Minkowski不等式、Ky-Fan不等式、Ostrowski-Taussky不等式推广到了一类非 Hermite复矩阵上 ,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 complex metapositive semidefinite matrix is He rmite metapositive semidefinite matrix of generalize, and its Kronecker product and Hadamard product and determinant theories are discussed, and generalizes Sch ur theorem, Hua Luo-geng theorem, Minkowski inequality, Ky-Fan inequality and Ostrowski-Taussky inequality of real symmetric matrix to compound matrix of one kind of non-Hermite, and the index scope of Minkowski inequality is enlarged, the condition of Hua Luo-geng inequality has been weakened.

关 键 词：复亚半正定矩阵 HADAMARD乘积 KRONECKER乘积 行列式 不等式 正定阵 Hermite正定阵 

分 类 号：O151.21[理学—数学]