title: New iterative criteria for strong [Formula: see text]-tensors and an application.
abstract: Strong [Formula: see text]-tensors play an important role in identifying the positive definiteness of even-order real symmetric tensors. In this paper, some new iterative criteria for identifying strong [Formula: see text]-tensors are obtained. These criteria only depend on the elements of the tensors, and it can be more effective to determine whether a given tensor is a strong [Formula: see text]-tensor or not by increasing the number of iterations. Some numerical results show the feasibility and effectiveness of the algorithm.
authors.affiliation: Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, Shaanxi 710072 P.R. China.
authors.forename: Jingjing
authors.initials: J
authors.lastname: Cui
authors.affiliation: Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, Shaanxi 710072 P.R. China.
authors.forename: Guohua
authors.initials: G
authors.lastname: Peng
authors.affiliation: Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, Shaanxi 710072 P.R. China.
authors.forename: Quan
authors.initials: Q
authors.lastname: Lu
authors.affiliation: Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, Shaanxi 710072 P.R. China.
authors.forename: Zhengge
authors.initials: Z
authors.lastname: Huang
keywords: irreducible; non-zero elements chain; positive definiteness; strong [Formula: see text]-tensors