半正定矩阵Hadamard积与Kronecker积的广义Schur补  

The generalized Schur complements for the Hadamard product and Kronecker product of positive semidefinite matrices

作　　者：楼嫏嬛[1] 吴保卫[2] 

机构地区：[1]西安邮电大学理学院,陕西西安710121 [2]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《西北大学学报（自然科学版）》2014年第2期188-190,196,共4页Journal of Northwest University（Natural Science Edition）

基　　金：国家自然科学基金青年基金资助项目(11201374)

摘　　要：利用半正定矩阵的性质和矩阵Moore-Penrose广义逆的特性研究半正定矩阵Hadamard积与Kronecker积的广义Schur补问题。得到了有关半正定矩阵Hadamard积与Kronecker积的广义Schur补的几个不等式和等式。将其Hadamard积与Kronecker积的Schur补结果推广到广义Schur补,并减弱了其约束条件。The generalized Schur complements for the Hadamard product and Kronecker product of positive semidefinite matrices are studied by using the properties of positive semidefinite matrices and their Moore-Penrose generalized inverse.An equality and several inequalities for the generalized Schur complements for the Hadamard product and Kronecker product of positive semidefinite matrices are derived.For positive semidefinite matrices,the results of the Schur complements for the Hadamard product and Kronecker product can be extended to the generalized Schur complements and the constraint condition can be weakened.

关 键 词：MOORE-PENROSE广义逆 半正定矩阵 广义SCHUR补 

分 类 号：O151.21[理学—数学]