摘要
通过分块矩阵变换,得出实对称矩阵正定性、半正定性的降阶判别方法.方法简单、运算规律强,且能在计算机上实现.
This paper introduces a order-reducing method for determining the positive definiteness or the positive semidefiniteness of real symmetric matrix, that has been derived from block matrices transformation. It is not only simple and regular to compute, but also easy to implement on computer.
关键词
对称矩阵
正定矩阵
降价判别
symmetric matrix
positive definite matrix
matrix transform methods
