On a relationship between the T-congruence Sylvester equation and the Lyapunov equation

Masaya Oozawa, Tomohiro Sogabe, Yuto Miyatake +1

We consider the T-congruence Sylvester equation $AX+X^{\mathrm{T}}B=C$, where $A\in {\mathbb{R}}^{m\times n}$, $B\in {\mathbb{R}}^{n\times m}$ and $C\in {\mathbb{R}}^{m\times m}$ are given, and…