Article ID Journal Published Year Pages File Type
4599283 Linear Algebra and its Applications 2015 14 Pages PDF
Abstract

We study the problem of finding, in a real algebraic matrix group, the matrix nearest to a given data matrix. We do so from the algebro-geometric perspective of Euclidean distance degrees. We recover several classical results, and among the new results that we prove is a formula for the Euclidean distance degree of special linear groups.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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