两种稳定性矩阵类及亚正定阵类的扩张  

Two kinds of Stability Matrices and Meta-positive Definite Matrices' Extension

作　　者：魏海新[1] 

机构地区：[1]青海师范高等专科学校数学系,青海西宁810007

出　　处：《青海师专学报》2000年第3期14-17,共4页Journal of Qinghai Junior Teachers' College

摘　　要：本文给出了两种稳定性矩阵的若干等价命题。得到了这两种稳定性矩阵类是亚正定阵类的某种相似扩张类。讨论了这三种矩阵类的各自 (相合、相似 )扩张是否是饱和的问题。This paper gives some equivalent propositions of two kinds of stability matices ,proves that the two stability matrires are similitude extension of meta-positive definite matrices. We also discuss whether the (congruent,similitude) extension of these three kinds matrices is saturated.

关 键 词：亚正定阵 正稳定矩阵 稳定矩阵 扩张 

分 类 号：O151.21[理学—数学]