Singular Value Decomposition of Complexes
Danielle A. Brake, Jonathan D. Hauenstein, Frank–Olaf Schreyer, Andrew John Sommese, Michael Stillman · SIAM Journal on Applied Algebra and Geometry · 2019
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.