Gradient-based iterative algorithms for solving Sylvester tensor equations and the associated tensor nearness problems

Maolin Liang, Bing Zheng

In this paper, an iterative algorithm is presented for solving Sylvester tensor equation $\mathcal{A}{\ast }_M\mathcal{X}+\mathcal{X}{\ast }_N\mathcal{C}=\mathcal{D}$, where $\mathcal{A}$, $\m…