| 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) | 2023-12 | |
| dc.date.accessioned | 24-May-2024 11:34:30 (UTC+8) | - |
| dc.date.available | 24-May-2024 11:34:30 (UTC+8) | - |
| dc.date.issued (上傳時間) | 24-May-2024 11:34:30 (UTC+8) | - |
| dc.identifier.uri (URI) | https://nccur.lib.nccu.edu.tw/handle/140.119/151280 | - |
| dc.description.abstract (摘要) | In the field of scientific computation, orthogonal iteration is an essential method for computing the invariant subspace corresponding to the largest r eigenvalues. In this paper, we construct a flow that connects the sequence of matrices generated by the orthogonal iteration. Such a flow is called an orthogonal flow. In addition, we show that the orthogonal iteration forms a time-one mapping of the orthogonal flow. A generalized orthogonal flow is constructed that has the same column space as the orthogonal flow. By using a suitable change of variables, the generalized orthogonal flow can be transformed into the solution of a Riccati differential equation (RDE). Conversely, an RDE can also be transformed into a flow that can be represented by a generalized orthogonal flow. | |
| dc.format.extent | 105 bytes | - |
| dc.format.mimetype | text/html | - |
| dc.relation (關聯) | Linear Algebra and its Applications, Vol.679, pp.67-85 | |
| dc.subject (關鍵詞) | Orthogonal iteration; Invariant subspace; Orthogonal flow; Riccati differential equation (RDE) | |
| dc.title (題名) | The Orthogonal flows for orthogonal iteration | |
| dc.type (資料類型) | article | |
| dc.identifier.doi (DOI) | 10.1016/j.laa.2023.09.002 | |
| dc.doi.uri (DOI) | https://doi.org/10.1016/j.laa.2023.09.002 | |
