摘要
该文给出了矩阵方程AV +BW =EVF的一种新的解析通解。该通解是一组自由参向量的显式线性表示,其系数阵是依赖于矩阵F的特征值的数值矩阵。因通解中仅含数值矩阵计算。
A new complete analytical general solution of the equation %AV+BW=EVF% is presented, which is expressed as a linear combination of a group of free parameter vectors. The coefficient matrices in the linear combination are numerical matrices which depend on the eigenvalues of the matrix $F$. The obtained solution only involves numerical matrix calculations, and is very convenient to realize by using computer.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2004年第3期342-347,共6页
Acta Mathematica Scientia
基金
国家杰出青年基金(6 992 5 30 8)资助
关键词
矩阵方程
解析通解
特征值
特征向量
Matrix equation
Analytical general solution
Eigenvalues
Eigenvectors.
