论文标题
单数值分解对双数矩阵的概括
Generalisations of Singular Value Decomposition to dual-numbered matrices
论文作者
论文摘要
我们提出了从实数矩阵到双数矩阵的奇异值分解的两个概括。我们证明，每个双重矩阵都有两种类型的SVD。我们的两种概括都是由应用程序或机械师的应用激励。
We present two generalisations of Singular Value Decomposition from real-numbered matrices to dual-numbered matrices. We prove that every dual-numbered matrix has both types of SVD. Both of our generalisations are motivated by applications, either to geometry or to mechanics.
