摘要
证明了关于亚正定矩阵的两个结论 :(1) n阶实正规矩阵 A是亚正定矩阵的充分必要条件是 A的所有特征值的实部均大于零。 (2 )设 A是亚正定矩阵 ,AB为实方阵 ,且 (AB)′=A′B,则 AB是亚正定矩阵的充分必要条件是
The paper have proved:(1) let λ 1,λ 2,...,λ n be eigenvalues of n×n real matrice A ,then A is a subposive detinite matrice, if and only if real part of are positice numbers.(2) let A be subposive definite matrice, AB be real matrice, and (AB)′=A′B ,then AB is subposive definite matice, if and only if eigenvalues of B are positive mumbers.
出处
《武汉理工大学学报》
CAS
CSCD
2001年第9期90-91,109,共3页
Journal of Wuhan University of Technology
关键词
正定矩阵
亚正定矩阵
正规矩阵
特征值
positive definite matrices
subpositive definite matrices
nurmal matrices
