Direct methods to compute all Z-eigenpairs of a tensor with dimension 2 or 3

Let A be an order m dimension n real tensor. Two direct methods are proposed to find all Z -eigenpairs of A with n = 2 or 3. For the convenience of application, the specific form of this direct method is given for m = 3 , 4 or 6, respectively. Finally, two numerical examples are reported to show that these direct methods are workable for a general tensor.