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A Geometric Perspective on the Singular Value Decomposition
Ottaviani, Giorgio
Paoletti, Raffaella
2015
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e-ISSN
2464-8728
Abstract
This is an introductory survey, from a geometric perspective, on the Singular Value Decomposition (SVD) for real matrices,
focusing on the role of the Terracini Lemma. We extend this point of
view to tensors, we define the singular space of a tensor as the space
spanned by singular vector tuples and we study some of its basic properties.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
47 (2015)
Subjects
Publisher
EUT Edizioni Università di Trieste
Languages
en
File(s)