Singular Value Decomposition of Complexes

Danielle A. Brake; Frank-Olaf Schreyer; Andrew J. Sommese; Michael E. Stillman

doi:10.1137/18m1189270

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Singular Value Decomposition of Complexes

Danielle A. Brake, Frank-Olaf Schreyer, Andrew J. Sommese, Michael E. Stillman

SIAM Journal on Applied Algebra and Geometry2019doi:10.1137/18m1189270

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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.

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Authors

Danielle A. Brake#1 Frank-Olaf Schreyer#3 Andrew J. Sommese#4 Michael E. Stillman#5

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10.1017/s0962492906210018

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2010

10.1007/bf02288367

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10.1016/j.jsc.2015.07.004

10.1007/bf01457454

10.1017/s0305004100030401

10.1515/crll.2000.064

10.1112/s0010437x05001387

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