矩阵广义Schur补的复合矩阵的 Lwner偏序与奇异值  

Lwner Partial Order and Singular Values for Compound Matrices of Generalized Schur Complements of a Matrix

作　　者：刘建州[1] 谢清明[1] 

机构地区：[1]湘潭大学数学系,湖南湘潭411105

出　　处：《数学学报（中文版）》2000年第6期1071-1076,共6页Acta Mathematica Sinica：Chinese Series

基　　金：湖南省自然科学基金资助项目

摘　　要：本文把矩阵广义 Ｓｃｈｕｒ补和复合矩阵结合起来，研究了一个ｍ×ｎ复矩阵的广义Ｓｃｈｕｒ补及其共轭转置之积的复合矩阵的Ｌｗｎｅｒ偏序，并给出相关复合矩阵的奇异值不等式；推广了近期的一些结果．In this paper, combining generalized Schur complements of matrices with compound matrix, we consider the Lowner partial order for compound matrices of the product of generalized Schur complement and its conjugate transpose of an m ×n matrix. We also give an inequality concering singular values of such a compound matrix which generizes some recent results.

关 键 词：矩阵 广义SCHUR补 复合矩阵 奇异值 LOEWNER偏序 

分 类 号：O151.21[理学—数学]