次亚正定矩阵的几个性质  

Several properties of metapositive semi-definite matrix

作　　者：郭华[1] 

机构地区：[1]重庆工商大学理学院,重庆400067

出　　处：《兰州理工大学学报》2005年第2期134-136,共3页Journal of Lanzhou University of Technology

摘　　要：研究了次亚正定矩阵的性质和一系列充分必要条件,主要得到了2 个结论:(1) n阶次亚正定矩阵的次特征值实部为正;(2) 当JA为实正规矩阵时,A是次亚正定矩阵的充分必要条件是A 的次特征值实部为正.讨论并给出了矩阵乘积是次亚正定矩阵的充分和充要条件.Several properties of metapositive semi-definite matrix and a group of sufficient and necessary conditions were discussed here.It was proved that the real parts of the sub-characteristic values of an n-order metapositive semi-definite matrix are positive and,when JA is a normal real matrix,then A is a metapositive semi-definite matrix if and only if the real part of the sub-characteristic value of A is real.Besides,the sufficient and necessary conditions of the production of two matrices being a metapositive semi-definite matrix were also discussed and given.

关 键 词：次转置矩阵 次亚正定矩阵 次特征值 

分 类 号：O151.21[理学—数学]