| 实对称张量正定性的判定 |
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| 引用本文： | 王峰,孙德淑.实对称张量正定性的判定[J].吉林大学学报(理学版),2017,55(1):38-42. |
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| 作者姓名： | 王峰 孙德淑 |
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| 作者单位： | 贵州民族大学 理学院, 贵阳 550025 |
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| 摘 要： | 通过构造不同的正对角阵并结合不等式的缩放技巧,给出了H-张量一种新的判定方法,并给出偶数阶实对称张量,即偶次齐次多项式正定性的新实用判别条件.
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| 关 键 词： | 正定性 齐次多项式 实对称张量 H-张量 |
| 收稿时间： | 2016-03-11 |
Criterion for Positive Definiteness of Real Symmetric Tensors |
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| WANG Feng,SUN Deshu.Criterion for Positive Definiteness of Real Symmetric Tensors[J].Journal of Jilin University: Sci Ed,2017,55(1):38-42. |
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| Authors: | WANG Feng SUN Deshu |
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| Institution: | College of Science, Guizhou Minzu University, Guiyang 550025, China |
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| Abstract: | We gave a new criterion for H tensors by constructing different positive diagonal matrices combined with scaling techniques of inequalities, and gave new practical criteria conditions for the positive definiteness of an even order real symmetric tensor, i.e., an even degree homogeneous polynomials. |
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| Keywords: | real symmetric tensor positive definiteness H-tensor homogeneous polynomial |
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