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H-tensor plays an important role in identifying positive definiteness of even order real symmetric tensors. In this paper, some definitions and theorems related to H-tensors are introduced firstly. Secondly, some new criteria for identifying nonsingular H-tensors are proposed, moreover, a new theorem for identifying positive definiteness of even order real symmetric tensors is obtained. Finally, some numerical examples are given to illustrate our results. 相似文献
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