On tensor tubal-Krylov subspace methods
Résumé
In this paper, we will introduce some new tubal-Krylov subspace methods for solving linear tensor equations. Using the well known tensor T-product, we will in particular define the tensor tubal-global GMRES that could be seen as a generalization of the global GMRES. We also give a new tubal-version of the tensor Golub–Kahan algorithm. To this end, we first introduce some new tensor-tensor products and new related algebraic properties. The presented numerical tests compare the two methods and show the efficiency of the proposed procedures.