摘要
本文给出了矩阵方程AV+BW=VF的两种解析通解,特别第二种通解还分别为自由参向量和F阵特征值的显式线性表示,本文结果较已有结果简单,适用范围广,且应用方便。
This paper gives two analytical general solutions of the equation AV + BW = VF, especially, the second solution is in the linear explicit form with respect to the free parameter vectors and the eigenvalues of matrix F respectively. The obtained resutlts are simpler than the previous ones,more convenient to use and have wider application scope.
出处
《应用数学》
CSCD
北大核心
1994年第1期54-59,共6页
Mathematica Applicata
关键词
特征值
矩阵方程
解析通解
控制论
Matrix equation
Analytical general solution
Freedom
Eigenvalues
Eigenvectors
