Euclidean distance degrees of real algebraic groups

J.A. Baaijens; J. Draisma

doi:10.1016/j.laa.2014.11.012

Euclidean distance degrees of real algebraic groups

J.A. Baaijens, J. Draisma

Research output: Contribution to journal › Article › Academic › peer-review

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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. Keywords: Euclidean distance degree; Real algebraic matrix groups

Original language	English
Pages (from-to)	174-187
Number of pages	14
Journal	Linear Algebra and Its Applications
Volume	467
DOIs	https://doi.org/10.1016/j.laa.2014.11.012
Publication status	Published - 2015

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title = "Euclidean distance degrees of real algebraic groups",

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. Keywords: Euclidean distance degree; Real algebraic matrix groups",

author = "J.A. Baaijens and J. Draisma",

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T1 - Euclidean distance degrees of real algebraic groups

AU - Baaijens, J.A.

AU - Draisma, J.

PY - 2015

Y1 - 2015

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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. Keywords: Euclidean distance degree; Real algebraic matrix groups

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DO - 10.1016/j.laa.2014.11.012

M3 - Article

SN - 0024-3795

VL - 467

SP - 174

EP - 187

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

Euclidean distance degrees of real algebraic groups

Abstract

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