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arXiv · 1503.07054

A Geometric Perspective on the Singular Value Decomposition

Giorgio Ottaviani·Raffaella Paoletti
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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.

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Giorgio Ottaviani, Raffaella Paoletti. 2015-03-24. A Geometric Perspective on the Singular Value Decomposition. https://arxiv.org/abs/1503.07054

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