正定矩阵Hadamard乘积的Schur补逆的偏序的等式条件  

The conditions of equalities of partial order of inverse of Schur complement on Hadamard products of positive definite matrices

作　　者：杨忠鹏[1] 叶利瑛[2] 

机构地区：[1]莆田学院数学系,莆田351100 [2]集美大学计算科学与应用物理系,厦门361021

出　　处：《纯粹数学与应用数学》2003年第1期78-82,共5页Pure and Applied Mathematics

基　　金：福建省教育厅科研资助项目 (JB0 1 2 0 6)

摘　　要：我们给出了正定矩阵 A与 B的 Hadamard乘积 A B的偏序 ( A B) - 1 ≤A- 1 B- 1 的等式成立的充要条件 ,从而得到了由王伯英和 Markham给出的正定矩阵 Hadamard乘积的For partial order (AB) -1≤A -1B -1,A and B are positive definite matrix.The necessary and sufficient conditions that the equality holds are given and some conditions of equalities of partial order of inver of Schur complement on Hadamard products of positive definite matrices by Bo-Ying Wang [Liner Multilinear Algebra,1997,43(1):315-326] and Markham [Lin Alg Appl, 1998,281:33-41] are obtained.

关 键 词：偏序 HADAMARD乘积 SCHUR补 正定矩阵 逆矩阵 等式条件 

分 类 号：O151.21[理学—数学]