For the matrix equation $AP + PB + C = 0$ we know that there exists a unique solution $P$ if and only if there are no common eigenvalues of $A$ and $-B$ (assuming that $C\ne 0$). But do we know when this solution is invertible?
2026-02-23 02:38:51.1771814331
When a solution of the Sylvester equation is not singular?
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