Cui Jingjing, Peng Guohua, Lu Quan, Huang Zhengge
Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, Shaanxi 710072 P.R. China.
J Inequal Appl. 2017;2017(1):49. doi: 10.1186/s13660-017-1323-1. Epub 2017 Feb 27.
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.
强[公式：见原文]张量在识别偶数阶实对称张量的正定性方面起着重要作用。本文得到了一些用于识别强[公式：见原文]张量的新的迭代准则。这些准则仅依赖于张量的元素，并且通过增加迭代次数来确定一个给定张量是否为强[公式：见原文]张量可能会更有效。一些数值结果表明了该算法的可行性和有效性。
