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    题名: Solving high-dimensional nonlinear equations with infinite solutions by the SVM visualization method
    作者: 曾正男
    Jeng-Nan Tzeng
    Yu-Yuan Lin
    贡献者: 應數系
    关键词: High-dimensional nonlinear equations;Infinite solutions;SVM
    日期: 2021-07
    上传时间: 2022-02-10 15:00:42 (UTC+8)
    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.
    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
    数据类型: conference
    DOI 連結: doi.org/10.1007/978-3-030-80119-9_11
    DOI: 10.1007/978-3-030-80119-9_11
    显示于类别:[應用數學系] 會議論文

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