# The Euclidean Distance Degree of Orthogonally Invariant Matrix Varieties

arXiv: https://arxiv.org/abs/1601.07210 · HTML: https://mlsanity.com/paper/1601.07210/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 26 Jan 2016.

## Built on by (most cited first, 1 of 1)

- [Snapshot of Algebraic Vision](https://mlsanity.com/paper/2210.11443/) (2022)

## Abstract (arXiv)

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.