A note on the preconditioned tensor splitting iterative method for solving strong M-tensor systems

Abstract

In this note, we present a new preconditioner for solving the multi-linear systems, which arise from many practical problems and are different from the traditional linear systems. Based on the analysis of the spectral radius, we give new comparison results between some preconditioned tensor splitting iterative methods. Numerical examples are given to demonstrate the efficiency of the proposed preconditioned method.

Keywords

• multi-linear systems
• tensor splitting
• preconditioned method
• spectral radius
• comparison theorem