Singular Value Decomposition Of Complexes

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

SIAM JOURNAL ON APPLIED ALGEBRA AND GEOMETRY（2019）

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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.

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关键词

singular value decomposition, homology, complex

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