Overdetermined Systems of Polynomial Equations: Tensor-Based Solution and Application
2023 31st European Signal Processing Conference (EUSIPCO)(2023)
摘要
Overdetermined systems of polynomial equations are the natural extension of overdetermined systems of linear equations. While the latter are solved systematically through well-established numerical linear algebra techniques, we contribute to the development of tensor-based tools to handle the more general polynomial case, specifically for applications in signal processing and related areas. The method involves computing the nullspace of the so-called Macaulay matrix and determining the Canonical Polyadic Decomposition (CPD) of a third-order tensor. The practical utility of this method is demonstrated for a blind multi-source localization problem.
更多查看译文
关键词
Macaulay matrix,polynomial system,root solving,tensor
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要