Euclidean distance degrees of real algebraic groups

J.A. Baaijens, J. Draisma

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

5 Citaties (Scopus)

Uittreksel

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
TaalEngels
Pagina's174-187
Aantal pagina's14
TijdschriftLinear Algebra and Its Applications
Volume467
DOI's
StatusGepubliceerd - 2015

Vingerafdruk

Algebraic Groups
Euclidean Distance
Matrix Groups
Special Linear Group

Citeer dit

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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",
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Euclidean distance degrees of real algebraic groups. / Baaijens, J.A.; Draisma, J.

In: Linear Algebra and Its Applications, Vol. 467, 2015, blz. 174-187.

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

TY - JOUR

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AU - Draisma,J.

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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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