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arXiv · 1601.07210

The Euclidean Distance Degree of Orthogonally Invariant Matrix Varieties

Dmitriy Drusvyatskiy·Hon-Leung Lee·Giorgio Ottaviani·Rekha R. Thomas
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Abstract

We show that the Euclidean distance degree of a real orthogonally invariant matrix variety equals the Euclidean distance degree of its restriction to diagonal matrices. We illustrate how this result can greatly simplify calculations in concrete circumstances.

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Dmitriy Drusvyatskiy, Hon-Leung Lee, Giorgio Ottaviani, Rekha R. Thomas. 2016-01-26. The Euclidean Distance Degree of Orthogonally Invariant Matrix Varieties. https://arxiv.org/abs/1601.07210

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