Euclidean distance degrees of real algebraic groups

J.A. Baaijens; J. Draisma

Euclidean distance degrees of real algebraic groups

J.A. Baaijens, J. Draisma

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Abstract

We study the problem of finding, in a real algebraic matrix group, the matrix closest 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.

Original language	English
Publisher	s.n.
Number of pages	11
Publication status	Published - 2014

Publication series

Name	arXiv.org
Volume	1405.0422 [math.OC]

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N2 - We study the problem of finding, in a real algebraic matrix group, the matrix closest 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.

AB - We study the problem of finding, in a real algebraic matrix group, the matrix closest 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.

UR - http://arxiv.org/pdf/1405.0422.pdf

M3 - Report

T3 - arXiv.org

BT - Euclidean distance degrees of real algebraic groups

PB - s.n.

ER -

Euclidean distance degrees of real algebraic groups

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