| 非奇异H-张量的新判定（英文） |
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| 引用本文： | 柳亮,王亚强.非奇异H-张量的新判定（英文）[J].数学季刊,2023(2):123-133. |
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| 作者姓名： | 柳亮 王亚强 |
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| 作者单位： | School of Mathematics and Information Science, Baoji University of Arts and Sciences |
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| 基金项目： | partly supported by the National Natural Science Foundations of China (Grant No. 31600299)；;The Natural Science Foundation of Shaanxi province (Grant No. 2020JM-622)； |
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| 摘 要： | 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.
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