How Can I Solve Matrix Equation in Matlab
equations, matlab, matrix
Solution
In case `B` or `C` are invertible, you can check the matrix cookbook section 5.1.10 deals with similar settings:
X * inv(C) - B * X = D * inv(C)
Can be translated to
x = inv( kron( eye, -B ) + kron( inv(C)', eye ) ) * d
where `x` and `d` are vector-stack of `X` and `D` respectively.
Problem
Say I have the following matrix equation ``` X - B*X*C = D ``` Where, `X`: 3 by 5, to be solved; `B`: 3 by 3; `C`: 5 by 5; `D`: 3 by 5; Is there any convenient method that I can use for solving the system? fsolve?