The Euclidean Distance Degree of Orthogonally Invariant Matrix Varieties

نویسندگان

  • DMITRIY DRUSVYATSKIY
  • HON-LEUNG LEE
  • GIORGIO OTTAVIANI
  • REKHA R. THOMAS
چکیده

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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تاریخ انتشار 2016