@article{Li_Wang_2017, title={SDP relaxation method for detecting P-tensors}, volume={5}, url={http://iapress.org/index.php/soic/article/view/soic.171202}, DOI={10.19139/soic.v5i4.324}, abstractNote={P-tensor and P_0-tensor are introduced in tensor complementarity problem, which have wide applications in many fields such as game theory, tensor complementarity problem. In this paper, we discuss how to check whether a given symmetric tensor is P(P_0)-tensor or not. For a symmetric tensor, it is a P(P_0)-tensor is equivalent to the positivity(nonnegativity) of a polynomial optimization problem. For such polynomial optimization problem, a SDP relaxation method is proposed. By the proposed method, the P(P_0)-tensor can be detected by solving a finite number of SDP relaxations. Furthermore, numerical examples are reported to show the efficiency of the proposed algorithm.}, number={4}, journal={Statistics, Optimization & Information Computing}, author={Li, Li and Wang, Xiao}, year={2017}, month={Nov.}, pages={295-301} }