Generalisations of Singular Value Decomposition to dual-numbered matrices
Rings and Algebras
2021-06-10 v7
Abstract
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.
Keywords
Cite
@article{arxiv.2007.09693,
title = {Generalisations of Singular Value Decomposition to dual-numbered matrices},
author = {Ran Gutin},
journal= {arXiv preprint arXiv:2007.09693},
year = {2021}
}