摘要
给出了矩阵方程aX2+bX+cE=O,a,b,c∈R,a≠0有正定解,实对称解的充分必要条件及解的一般形式.
In this paper, the necessary and sufficient conditions are given for the matrix equation aX^2+bX+cE=O have positive definite solutions or real symmetric solutions. Moreover, the positive definite solution and the real symmetric solution, if exist, are described completely.
出处
《大学数学》
北大核心
2005年第2期113-115,共3页
College Mathematics
关键词
矩阵方程
正定解
对称解
特征方程
特征值
matrix equation
positive definite solution
real symmetric solution
characteristic equation
eigenvalue
