关于实亚正定阵的Cauchy-Schwarz不等式和Wielandt不等式  

CAUCHY-SCHWARZ INEQUALITY AND WIELANDT INEQUALITY ON REAL SUBPOSITIVE DEFINITE MATRICES

作　　者：刘建忠[1] 

机构地区：[1]江苏技术师范学院基础部,江苏常州213001

出　　处：《数学杂志》2009年第1期99-102,共4页Journal of Mathematics

摘　　要：本文研究了实亚正定阵的Cauchy-Schwarz不等式和Wielandt不等式的矩阵形式.利用矩阵Schur补的方法,获得了正定矩阵的相关结果,并且推广到实亚正定阵的情形.In this Paper, matrix versions of the Cauehy-Sehwarz inequality and Wielandt inequality on real subpositive definite matrices are studied by using Schur complement method. Some corresponding inequalities on positive definite matrices are generalized to the case of real subpositive definite matrices.

关 键 词：亚正定阵 CAUCHY-SCHWARZ不等式 WIELANDT不等式 

分 类 号：O151.21[理学—数学]