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中文摘要：
H-张量在科学和工程实际中具有重要应用,但在实际中要判定H-张量是不容易的.通过构造不同的正对角阵,结合不等式的放缩技巧,给出一些比较实用的H-张量新判别方法.作为应用,给出判定偶数阶实对称张量正定性的条件,相应数值例子说明了结果的有效性.
英文摘要：
H-tensors have wide applications in science and engineering, but it is not easy to determine whether a given tensor is an H-tensor or not in practice. In this paper,we give some practical criteria for H-tensors by constructing different positive diagonal matrices and applying some techniques of inequalities. As an application, some sufficient conditions of the positive definiteness for an even-order real symmetric tensor are given.Advantages of results obtained are illustrated by numerical examples.
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