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.
出处
《兰州理工大学学报》
CAS
北大核心
2005年第2期134-136,共3页
Journal of Lanzhou University of Technology
关键词
次转置矩阵
次亚正定矩阵
次特征值
subtranspositive matrix
metapositive semi-definite matrix
sub-characteristic value
