Generalisations of Singular Value Decomposition to dual-numbered matrices

2020/07/19 by Gutin, Ran
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2007.09693

Abstract

We present two generalisations of Singular Value Decomposition from real-numbered matrices to dual-numbered matrices. We prove that every dual-numbered matrix has both types of SVD. Both of our generalisations are motivated by applications, either to geometry or to mechanics.

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