| dc.contributor | 應數系 | |
| dc.creator (作者) | 郭岳承 | |
| dc.creator (作者) | Kuo, Yueh-Cheng;Lin, Wen-Wei;Liu, Ching-Sung | |
| dc.date (日期) | 2018-10 | |
| dc.date.accessioned | 24-May-2024 11:34:37 (UTC+8) | - |
| dc.date.available | 24-May-2024 11:34:37 (UTC+8) | - |
| dc.date.issued (上傳時間) | 24-May-2024 11:34:37 (UTC+8) | - |
| dc.identifier.uri (URI) | https://nccur.lib.nccu.edu.tw/handle/140.119/151287 | - |
| dc.description.abstract (摘要) | In this paper, a homotopy continuation method for the computation of nonnegative Z-/H-eigenpairs of a nonnegative tensor is presented. We show that the homotopy continuation method is guaranteed to compute a nonnegative eigenpair. Additionally, using degree analysis, we show that the number of positive Z-eigenpairs of an irreducible nonnegative tensor is odd. A novel homotopy continuation method is proposed to compute an odd number of positive Z-eigenpairs, and some numerical results are presented. | |
| dc.format.extent | 105 bytes | - |
| dc.format.mimetype | text/html | - |
| dc.relation (關聯) | Journal of Computational and Applied Mathematics, Vol.340, pp.71-88 | |
| dc.subject (關鍵詞) | Continuation method; Nonnegative tensor; Z-eigenpair; H-eigenpair; Tensor eigenvalue problem | |
| dc.title (題名) | Continuation methods for computing Z-/H-eigenpairs of nonnegative tensors | |
| dc.type (資料類型) | article | |
| dc.identifier.doi (DOI) | 10.1016/j.cam.2018.02.027 | |
| dc.doi.uri (DOI) | https://doi.org/10.1016/j.cam.2018.02.027 | |
