Preconditioned inexact fixed point iteration method for solving tensor absolute value equation

Preconditioning techniques are the most used methods to accelerate the tensor splitting iteration method for solving multi-linear systems. In this paper, we consider the numerical method for solving tensor absolute value equation based on preconditioned techniques and the inexact fixed point iteration method. We present a general form of preconditioned inexact fixed point iteration method for solving tensor absolute value equation. Theoretically, we give the convergence of the proposed method. Numerically, we show the efficiency of the proposed method by three numerical examples.