非负矩形张量最大奇异值的S型上界

桑彩丽,赵建兴

doi:10.13718/j.cnki.xsxb.2018.06.001

西南师范大学学报(自然科学版)

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非负矩形张量最大奇异值的S型上界

桑彩丽,赵建兴. 非负矩形张量最大奇异值的S型上界[J]. 西南师范大学学报(自然科学版), 2018, 43(6): 1-5. doi: 10.13718/j.cnki.xsxb.2018.06.001

引用本文:

桑彩丽,赵建兴. 非负矩形张量最大奇异值的S型上界[J]. 西南师范大学学报(自然科学版), 2018, 43(6): 1-5. doi: 10.13718/j.cnki.xsxb.2018.06.001

SANG Cai-li, ZHAO Jian-xing. An S-Type Upper Bound for the Largest Singular Value of Nonnegative Rectangular Tensors[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(6): 1-5. doi: 10.13718/j.cnki.xsxb.2018.06.001

Citation:

SANG Cai-li, ZHAO Jian-xing. An S-Type Upper Bound for the Largest Singular Value of Nonnegative Rectangular Tensors[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(6): 1-5. doi: 10.13718/j.cnki.xsxb.2018.06.001

非负矩形张量最大奇异值的S型上界

桑彩丽,赵建兴

贵州民族大学数据科学与信息工程学院, 贵阳 550025

An S-Type Upper Bound for the Largest Singular Value of Nonnegative Rectangular Tensors

SANG Cai-li, ZHAO Jian-xing

College of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, China

摘要: 通过将集合N={1，2，…，n}划分为非空真子集S及其补集S，给出非负矩形张量 A 的最大奇异值λ0的一个S-型上界，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，显示所得上界比现有估计精确且在某些情况下能达到真值.
- 非负张量 /
- 矩形张量 /
- 奇异值 /
- 上界
Abstract: By breaking N={1,2,…,n} into disjoint subsets S and its complement S, an S-type upper bound for the largest singular value λ0 of a nonnegative rectangular tensor A is given and proved to be an improvement of some existing results. Finally, the obtained result is verified by numerical examples to show that it is more accurate than some existing results and could reach the true value of the largest singular value in some cases.
- nonnegative tensor /
- rectangular tensor /
- singular value /
- upper bound .

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