An iterative scheme for identifying the positive semi-definiteness of even-order real symmetric H-tensor

H-tensor plays an important role in identifying the positive (semi-) definiteness of even-order real symmetric tensor. In this paper, we propose an algorithm for identifying general H-tensor and prove the algorithm will terminate within finite iterative steps. As application, we give an iterative method for identifying positive semi-definiteness of the even order symmetric tensor. At last, some numerical examples are provided to illustrate the efficiency and validity of methods we have proposed.