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Article: Some bounds for the spectral radius of nonnegative tensors
Title | Some bounds for the spectral radius of nonnegative tensors |
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Authors | |
Keywords | 15A18 65F25 15A69 |
Issue Date | 2015 |
Citation | Numerische Mathematik, 2015, v. 130, n. 2, p. 315-335 How to Cite? |
Abstract | © 2014, Springer-Verlag Berlin Heidelberg. In this paper, we extend the well-known column sum bound of the spectral radius for nonnegative matrices to the tensor case, an upper bound of the spectral radius for a nonnegative tensor is given via the largest eigenvalue of a symmetric tensor. Also we show some bounds of spectral radius of nonnegative tensors based on the sum of the entries in the other indices of tensors. We demonstrate that our new results improve existing results. The other main results of this paper is to provide a sharper Ky Fan type theorem and a comparison theorem for nonnegative tensors. Finally, we make use of our bounds to give a perturbation bound for the spectral radius of symmetric nonnegative tensors. This result is similar to the Weyl theorem for the matrix case. |
Persistent Identifier | http://hdl.handle.net/10722/276690 |
ISSN | 2023 Impact Factor: 2.1 2023 SCImago Journal Rankings: 1.855 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Li, Wen | - |
dc.contributor.author | Ng, Michael K. | - |
dc.date.accessioned | 2019-09-18T08:34:22Z | - |
dc.date.available | 2019-09-18T08:34:22Z | - |
dc.date.issued | 2015 | - |
dc.identifier.citation | Numerische Mathematik, 2015, v. 130, n. 2, p. 315-335 | - |
dc.identifier.issn | 0029-599X | - |
dc.identifier.uri | http://hdl.handle.net/10722/276690 | - |
dc.description.abstract | © 2014, Springer-Verlag Berlin Heidelberg. In this paper, we extend the well-known column sum bound of the spectral radius for nonnegative matrices to the tensor case, an upper bound of the spectral radius for a nonnegative tensor is given via the largest eigenvalue of a symmetric tensor. Also we show some bounds of spectral radius of nonnegative tensors based on the sum of the entries in the other indices of tensors. We demonstrate that our new results improve existing results. The other main results of this paper is to provide a sharper Ky Fan type theorem and a comparison theorem for nonnegative tensors. Finally, we make use of our bounds to give a perturbation bound for the spectral radius of symmetric nonnegative tensors. This result is similar to the Weyl theorem for the matrix case. | - |
dc.language | eng | - |
dc.relation.ispartof | Numerische Mathematik | - |
dc.subject | 15A18 | - |
dc.subject | 65F25 | - |
dc.subject | 15A69 | - |
dc.title | Some bounds for the spectral radius of nonnegative tensors | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1007/s00211-014-0666-5 | - |
dc.identifier.scopus | eid_2-s2.0-84930943672 | - |
dc.identifier.volume | 130 | - |
dc.identifier.issue | 2 | - |
dc.identifier.spage | 315 | - |
dc.identifier.epage | 335 | - |
dc.identifier.isi | WOS:000354242900005 | - |
dc.identifier.issnl | 0029-599X | - |