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- Publisher Website: 10.1007/s11464-018-0707-y
- Scopus: eid_2-s2.0-85048768441
- WOS: WOS:000440606300006
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Article: Uniqueness and perturbation bounds for sparse non-negative tensor equations
| Title | Uniqueness and perturbation bounds for sparse non-negative tensor equations |
|---|---|
| Authors | |
| Keywords | tensor equation perturbation uniqueness Stochastic tensor |
| Issue Date | 2018 |
| Citation | Frontiers of Mathematics in China, 2018, v. 13, n. 4, p. 849-874 How to Cite? |
| Abstract | © 2018, Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature. We discuss the uniqueness and the perturbation analysis for sparse non-negative tensor equations arriving from data sciences. By two different techniques, we may get better ranges of parameters to guarantee the uniqueness of the solution of the tensor equation. On the other hand, we present some perturbation bounds for the tensor equation. Numerical examples are given to show the efficiency of the theoretical results. |
| Persistent Identifier | http://hdl.handle.net/10722/276596 |
| ISSN | 2023 Impact Factor: 0.8 2020 SCImago Journal Rankings: 0.482 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Liu, Dongdong | - |
| dc.contributor.author | Li, Wen | - |
| dc.contributor.author | Ng, Michael K. | - |
| dc.contributor.author | Vong, Seak Weng | - |
| dc.date.accessioned | 2019-09-18T08:34:05Z | - |
| dc.date.available | 2019-09-18T08:34:05Z | - |
| dc.date.issued | 2018 | - |
| dc.identifier.citation | Frontiers of Mathematics in China, 2018, v. 13, n. 4, p. 849-874 | - |
| dc.identifier.issn | 1673-3452 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/276596 | - |
| dc.description.abstract | © 2018, Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature. We discuss the uniqueness and the perturbation analysis for sparse non-negative tensor equations arriving from data sciences. By two different techniques, we may get better ranges of parameters to guarantee the uniqueness of the solution of the tensor equation. On the other hand, we present some perturbation bounds for the tensor equation. Numerical examples are given to show the efficiency of the theoretical results. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Frontiers of Mathematics in China | - |
| dc.subject | tensor equation | - |
| dc.subject | perturbation | - |
| dc.subject | uniqueness | - |
| dc.subject | Stochastic tensor | - |
| dc.title | Uniqueness and perturbation bounds for sparse non-negative tensor equations | - |
| dc.type | Article | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1007/s11464-018-0707-y | - |
| dc.identifier.scopus | eid_2-s2.0-85048768441 | - |
| dc.identifier.volume | 13 | - |
| dc.identifier.issue | 4 | - |
| dc.identifier.spage | 849 | - |
| dc.identifier.epage | 874 | - |
| dc.identifier.eissn | 1673-3576 | - |
| dc.identifier.isi | WOS:000440606300006 | - |
| dc.identifier.issnl | 1673-3452 | - |