摘要
本文主要是借用同阶正定矩阵大小比较的相关性质,从理论的角度对两个同阶正定矩阵进行了大小比较上的研究,列出了一些基本的性质,给出了简单的证明,并在此基础上对一些性质进行了推广,对不成立的性质则举出反例给予说明。这些性质和推论对研究实对称正定矩阵是有一定帮助的。
This paper mainly related to borrow the comparison of the properties of same order positive definite matrix size, from the theoretical point of view to compare the size of the same two order positive definite matrix, list some basic properties, gives a simple proof, and on the basis of some properties in the promotion of nature, illustrates the counterexample to the nature not established. These properties and inferences are of some help to the study of symmetric positive definite matrix.
出处
《佳木斯教育学院学报》
2013年第5期249-250,共2页
Journal of Jiamusi Education Institute
关键词
同阶正定矩阵
大小比较
特征值
same order positive definite matrix
comparison
eigenvalue
