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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-张量是比较困难的．通过构造不同的正对角阵，结合不等式的放缩技巧，给出了H-张量判定的几个新迭代准则．作为应用，给出了判定偶数阶实对称张量正定性的条件，相应的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 difficult to determine whether a given tensor is an ,H - tensor or not in practice. Several new iterative jud- ging criteria were given for ,H - tensors through construction of different positive diagonal matri- ces and introduction of some techniques of inequalities. For application, some sufficient condi- tions of the positive definiteness for an even-order real symmetric tensor were given. Results of the numerical examples illustrate tile effectiveness of the presented criteria.
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