| dc.contributor | 應數系 | - |
| dc.creator (作者) | 曾正男 | - |
| dc.creator (作者) | Jeng-Nan Tzeng | - |
| dc.creator (作者) | Yu-Yuan Lin | - |
| dc.date (日期) | 2021-07 | - |
| dc.date.accessioned | 10-Feb-2022 15:00:42 (UTC+8) | - |
| dc.date.available | 10-Feb-2022 15:00:42 (UTC+8) | - |
| dc.date.issued (上傳時間) | 10-Feb-2022 15:00:42 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/139051 | - |
| dc.description.abstract (摘要) | There are many standard mathematical methods for solving nonlinear equations. But when it comes to equations with infinite solutions in high dimension, the results from current methods are quite limited. Usually these methods apply to differentiable functions only and have to satisfy some conditions to converge during the iteration. Even if they converge, only one single root is found at a time. However, using the features of SVM, we present a simple fast method which could tell the distribution of these infinite solutions and is capable of finding approximation of the roots with accuracy up to at least 10^−12 . In the same time, we could also have a visual understanding about these solutions. | - |
| dc.format.extent | 1280615 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.relation (關聯) | Intelligent computing: proceedings of the 2021 computing confernece, vol.1 (Lecture Notes in Networks and Systems(LNNS), vol. 283), Springer, pp.218-231 | - |
| dc.subject (關鍵詞) | High-dimensional nonlinear equations; Infinite solutions; SVM | - |
| dc.title (題名) | Solving high-dimensional nonlinear equations with infinite solutions by the SVM visualization method | - |
| dc.type (資料類型) | conference | - |
| dc.identifier.doi (DOI) | 10.1007/978-3-030-80119-9_11 | - |
| dc.doi.uri (DOI) | doi.org/10.1007/978-3-030-80119-9_11 | - |
