Three-term-tensor Sylvester method for a class of third ordertensor linear equations

In this paper, we present a direct dense method called three-term-tensor Sylvester, toobtain the solution to a class of third order tensor linear equations. The proposed methodinvestigate process of solution without the explicit use of Kronecker form that is desirable forlow rank tensor equations. Numerical experiments illustrate the properties of the consideredalgorithm.

Keywords:

Tensors , Schur decomposition , Generalized Sylvester matrix equation