Eisa Khosravi Dehdezi - Department of Mathematics, Faculty of Intelligent Systems Engineering and Data Science,Persian Gulf University, Bushehr, Iran
Saeed Karimi - Department of Mathematics, Faculty of Intelligent Systems Engineering and Data Science,Persian Gulf University, Bushehr, Iran

Let L be a real linear operator with a positive de nite symmetric part M. In certainapplications, several problems of the form M⋆N Y = can be solved with less human orcomputational effort than the original equation L⋆N = F. In this paper, the generalizedconjugate gradient method of Concus and Golub [Lecture Notes in Economics and Math-ematical Systems ۱۳۴, Springer-Verlag, New York, ۱۹۷۶] and Widlund [SIAM J. Numer.Anal., ۱۵ (۱۹۷۸), pp. ۸۰۱-۸۱۲] is extended for solving some tensor equations via Einsteinproduct. An example is also provided to show the efficiency of the proposed method. Finally,some concluding remarks are given.

Generalized conjugate gradient method, Tensor, Multilinear systems