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 vector spaces. We provide two methods to compute them and present several applications. |
Year | DOI | Venue |
---|---|---|
2019 | 10.1137/18M1189270 | SIAM JOURNAL ON APPLIED ALGEBRA AND GEOMETRY |
Keywords | Field | DocType |
singular value decomposition, homology, complex | Singular value decomposition,Vector space,Singular value,Matrix (mathematics),Mathematical analysis,Pure mathematics,Mathematics,Numerical linear algebra | Journal |
Volume | Issue | ISSN |
3 | 3 | 2470-6566 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
5 |
Name | Order | Citations | PageRank |
---|---|---|---|
Danielle A. Brake | 1 | 0 | 0.68 |
Jonathan D. Hauenstein | 2 | 269 | 37.65 |
Frank-Olaf Schreyer | 3 | 10 | 3.98 |
Andrew J. Sommese | 4 | 412 | 39.68 |
Michael E. Stillman | 5 | 0 | 0.34 |