Euclidean distance degrees of real algebraic groups

J.A. Baaijens, J. Draisma

Research output: Book/ReportReportAcademic

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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 languageEnglish
Publishers.n.
Number of pages11
Publication statusPublished - 2014

Publication series

NamearXiv.org
Volume1405.0422 [math.OC]

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