An S-type upper bound for the largest singular value of nonnegative rectangular tensors
An S-type upper bound for the largest singular value of a nonnegative rectangular tensor is given by breaking N = {1, 2, … n} into disjoint subsets S and its complement. It is shown that the new upper bound is smaller than that provided by Yang and Yang (2011). Numerical examples are given to verify...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2016-01-01
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| Series: | Open Mathematics |
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| Online Access: | https://doi.org/10.1515/math-2016-0085 |
| _version_ | 1818733615951904768 |
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| author | Zhao Jianxing Sang Caili |
| author_facet | Zhao Jianxing Sang Caili |
| author_sort | Zhao Jianxing |
| collection | DOAJ |
| description | An S-type upper bound for the largest singular value of a nonnegative rectangular tensor is given by breaking N = {1, 2, … n} into disjoint subsets S and its complement. It is shown that the new upper bound is smaller than that provided by Yang and Yang (2011). Numerical examples are given to verify the theoretical results. |
| first_indexed | 2024-12-17T23:52:17Z |
| format | Article |
| id | doaj.art-b07b8523dee3450a83a132144d6e84d1 |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-12-17T23:52:17Z |
| publishDate | 2016-01-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-b07b8523dee3450a83a132144d6e84d12022-12-21T21:28:10ZengDe GruyterOpen Mathematics2391-54552016-01-0114192593310.1515/math-2016-0085math-2016-0085An S-type upper bound for the largest singular value of nonnegative rectangular tensorsZhao Jianxing0Sang Caili1College of Science, Guizhou Minzu University, Guiyang 550025, ChinaCollege of Science, Guizhou Minzu University, Guiyang 550025, ChinaAn S-type upper bound for the largest singular value of a nonnegative rectangular tensor is given by breaking N = {1, 2, … n} into disjoint subsets S and its complement. It is shown that the new upper bound is smaller than that provided by Yang and Yang (2011). Numerical examples are given to verify the theoretical results.https://doi.org/10.1515/math-2016-0085nonnegative tensorrectangular tensorsingular value15a1815a4215a69 |
| spellingShingle | Zhao Jianxing Sang Caili An S-type upper bound for the largest singular value of nonnegative rectangular tensors Open Mathematics nonnegative tensor rectangular tensor singular value 15a18 15a42 15a69 |
| title | An S-type upper bound for the largest singular value of nonnegative rectangular tensors |
| title_full | An S-type upper bound for the largest singular value of nonnegative rectangular tensors |
| title_fullStr | An S-type upper bound for the largest singular value of nonnegative rectangular tensors |
| title_full_unstemmed | An S-type upper bound for the largest singular value of nonnegative rectangular tensors |
| title_short | An S-type upper bound for the largest singular value of nonnegative rectangular tensors |
| title_sort | s type upper bound for the largest singular value of nonnegative rectangular tensors |
| topic | nonnegative tensor rectangular tensor singular value 15a18 15a42 15a69 |
| url | https://doi.org/10.1515/math-2016-0085 |
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