The euclidean distance degree of orthogonally invariant matrix varieties

被引：0
|
作者：
Dmitriy Drusvyatskiy
Hon-Leung Lee
Giorgio Ottaviani
Rekha R. Thomas
机构：
[1] University of Washington,Department of Mathematics
[2] Università di Firenze,DIMAI
[3] University of Washington,Department of Mathematics
来源：
Israel Journal of Mathematics | 2017年 / 221卷
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摘要：
The Euclidean distance degree of a real variety is an important invariant arising in distance minimization problems. We show that the Euclidean distance degree of an 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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页码：291 / 316
页数：25
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