Given two positive matrices $A$ and $B$, such that $A = BC - CB$ for some matrix $C$. Is there any way of expressing $C$ in terms of $A$ and $B$?
2026-05-05 01:13:50.1777943630
How to solve for matrix $C$ in $A=BC-CB$?
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There can be no general way of solving this for $C$. If e.g. $B = I$ is the identity-matrix then $A = 0$ for every $C$, so no information on $C$ can be obtained.