| dc.contributor | 應數系 | |
| dc.creator (作者) | 郭岳承 | |
| dc.creator (作者) | Kuo, Yueh-Cheng;Lin, Huey-Er;Shieh, Shih-Feng | |
| dc.date (日期) | 2025-07 | |
| dc.date.accessioned | 21-Aug-2025 09:34:39 (UTC+8) | - |
| dc.date.available | 21-Aug-2025 09:34:39 (UTC+8) | - |
| dc.date.issued (上傳時間) | 21-Aug-2025 09:34:39 (UTC+8) | - |
| dc.identifier.uri (URI) | https://nccur.lib.nccu.edu.tw/handle/140.119/158888 | - |
| dc.description.abstract (摘要) | In this paper, we examine a matrix differential equation that approximates the k-dimensional dominant eigenspace of a matrix. We determine that its solution is orthonormal, and thus we denote this solution as the generalized orthogonal flow. We also ensure its existence and uniqueness for all time t E R. In addition, we construct a particular generalized orthogonal flow that possesses minimal variation. Our findings show that the path with minimal variation is identical to an Oja-like flow. Furthermore, we conduct an in-depth analysis of the asymptotic behavior and the rate of convergence of Oja-like flow. | |
| dc.format.extent | 105 bytes | - |
| dc.format.mimetype | text/html | - |
| dc.relation (關聯) | Linear algebra and its applications, Vol.717, pp.1-25 | |
| dc.subject (關鍵詞) | Orthogonal iteration; Orthogonal flow; Generalized orthogonal flow; Oja-like flow; Minimal variation; Rate of convergence | |
| dc.title (題名) | Asymptotic analysis of generalized orthogonal flows | |
| dc.type (資料類型) | article | |
| dc.identifier.doi (DOI) | 10.1016/j.laa.2025.03.018 | |
| dc.doi.uri (DOI) | https://doi.org/10.1016/j.laa.2025.03.018 | |
