The Euclidean Distance Degree of an Algebraic Variety
نویسندگان
چکیده
منابع مشابه
The Euclidean Distance Degree of an Algebraic Variety
The nearest point map of a real algebraic variety with respect to Euclidean distance is an algebraic function. For instance, for varieties of low rank matrices, the Eckart-Young Theorem states that this map is given by the singular value decomposition. This article develops a theory of such nearest point maps from the perspective of computational algebraic geometry. The Euclidean distance degre...
متن کاملEuclidean distance degrees of real algebraic groups
Article history: Received 22 May 2014 Accepted 8 November 2014 Available online 25 November 2014 Submitted by J.M. Landsberg MSC: 15B99 13P25 20G20
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ژورنال
عنوان ژورنال: Foundations of Computational Mathematics
سال: 2015
ISSN: 1615-3375,1615-3383
DOI: 10.1007/s10208-014-9240-x