Numerical solution of a class of quasi-linear matrix equations

Margherita Porcelli, Valeria Simoncini

Given the matrix equation $\mathbf{AX}+\mathbf{XB}+f(\mathbf{X})\mathbf{C}=\mathbf{D}$ in the unknown $n\times m$ matrix $\mathbf{X}$, we analyze existence and uniqueness conditions, toget…