English

Singular value decomposition of complexes

Numerical Analysis 2018-05-31 v2

Abstract

Singular value decompositions of matrices are widely used in numerical linear algebra with many applications. In this paper, we extend the notion of singular value decompositions to finite complexes of real vector spaces. We provide two methods to compute them and present several applications.

Keywords

Cite

@article{arxiv.1804.09838,
  title  = {Singular value decomposition of complexes},
  author = {Danielle A. Brake and Jonathan D. Hauenstein and Frank-Olaf Schreyer and Andrew J. Sommese and Michael E. Stillman},
  journal= {arXiv preprint arXiv:1804.09838},
  year   = {2018}
}
R2 v1 2026-06-23T01:36:15.212Z