| 非负矩形张量最大奇异值的上界估计 |
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| 引用本文： | 赵建兴.非负矩形张量最大奇异值的上界估计[J].吉林大学学报(理学版),2017,55(6):1481-1484. |
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| 作者姓名： | 赵建兴 |
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| 作者单位： | 贵州民族大学 数据科学与信息工程学院, 贵阳 550025 |
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| 摘 要： | 利用非负矩形张量A的元素、分类讨论思想及不等式放缩技巧,给出A最大奇异值的上界估计式,并通过数值算例验证了所得结果.数值结果表明,所得估计比某些已有结果更精确.
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| 关 键 词： | 上界 矩形张量 非负张量 奇异值 |
| 收稿时间： | 2017-02-27 |
Upper Bound Estimation of the Largest Singular Valueof Nonnegative Rectangular Tensors |
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| ZHAO Jianxing.Upper Bound Estimation of the Largest Singular Valueof Nonnegative Rectangular Tensors[J].Journal of Jilin University: Sci Ed,2017,55(6):1481-1484. |
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| Authors: | ZHAO Jianxing |
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| Institution: | College of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, China |
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| Abstract: | Using the elements of a nonnegative rectangular tensor A, classification discussion idea and some techniques of inequalities, the author gave an upper bound estimation of the largest singular value of A. The obtained results were verified by numerical examples. Numerical results show that the obtained estimation is more accurate than some existing results. |
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| Keywords: | nonnegative tensor singular value upper bound rectangular tensor |
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