English

Randomized dual singular value decomposition

Numerical Analysis 2024-07-25 v1 Numerical Analysis

Abstract

We first propose a concise singular value decomposition of dual matrices. Then, the randomized version of the decomposition is presented. It can significantly reduce the computational cost while maintaining the similar accuracy. We analyze the theoretical properties and illuminate the numerical performance of the randomized algorithm.

Keywords

Cite

@article{arxiv.2407.16925,
  title  = {Randomized dual singular value decomposition},
  author = {Mengyu Wang and Jingchun Zhou and Hanyu Li},
  journal= {arXiv preprint arXiv:2407.16925},
  year   = {2024}
}