矩阵方程AV+BW=EVF的一种新的解析通解

A New Analytical General Solution of the Matrix Equation AV+BW=EVF

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.