A new fixed point iterative method for solving tensor absolute value equation

The main objective of this paper is to solve tensor absolute value equation when it has a positive solution. We derive several existence conditions for the positive solution of tensor absolute value equation with some structure tensors, and then propose a new fixed point iterative method for solving this class of equation. We study the convergence of the proposed method under appropriate conditions. Finally, we show the feasibility of the proposed method by three numerical examples.