Singular Value Decomposition of Complexes

被引：4

作者：

Brake, Danielle A. ^{[1
]}

Hauenstein, Jonathan D. ^{[2
]}

Schreyer, Frank-Olaf ^{[3
]}

Sommese, Andrew J. ^{[2
]}

Stillman, Michael E. ^{[4
]}

机构：

[1] Univ Wisconsin, Dept Math, Eau Claire, WI 54702 USA

[2] Univ Notre Dame, Dept Appl & Computat Math & Stat, Notre Dame, IN 46556 USA

[3] Univ Saarland, Math & Informat, Campus E2 4, D-66123 Saarbrucken, Germany

[4] Cornell Univ, Dept Math, White Hall, Ithaca, NY 14853 USA

来源：

SIAM JOURNAL ON APPLIED ALGEBRA AND GEOMETRY | 2019年 / 3卷 / 03期

关键词：

singular value decomposition; homology; complex; ELEMENT EXTERIOR CALCULUS;

D O I：

10.1137/18M1189270

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：507 / 522

页数：16

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