| 矩形张量奇异值的S-型包含集 |
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| 引用本文： | 桑彩丽,赵建兴.矩形张量奇异值的S-型包含集[J].应用数学,2019,32(3):487-494. |
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| 作者姓名： | 桑彩丽 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 |
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| 基金项目： | 贵州省教育厅科技拔尖人才支持项目(黔教合KY字[2016]066号);国家自然科学基金(11501141) |
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| 摘 要： | 本文研究矩形张量奇异值的定位问题.利用矩形张量指标集的一个划分:非空真子集S及其补集、分类讨论思想和不等式放缩技巧,获得了矩形张量奇异值的一个S -型包含集,改进了某些已有结果.最后通过数值算例对理论结果进行验证,数值算例显示所得包含集比某些已有包含集精确.
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| 关 键 词： | 矩形张量 奇异值 S-型 包含集 |
| 收稿时间： | 2018/6/10 0:00:00 |
An S-Type Singular Value Inclusion Set for Rectangular Tensors |
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| SANG Caili,ZHAO Jianxing.An S-Type Singular Value Inclusion Set for Rectangular Tensors[J].Mathematica Applicata,2019,32(3):487-494. |
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| Authors: | SANG Caili 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: | In this paper, we study the locations of all singular values of rectangular tensors. By breaking the index set of rectangular tensors into disjoint nonempty proper subsets S and its complement,and using classification discussion idea and some techniques of inequalities, we obtain an S-type singular value inclusion set for rectangular tensors, which is an improvement of some existing results. Finally,numerical examples are given to verify the theoretical results and show that the new set is more accurate than some existing sets. |
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| Keywords: | Rectangular tensor Singular value S -type Inclusion set |
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