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arXiv · 1405.0422

Euclidean Distance degrees of real algebraic groups

Jasmijn A. Baaijens·Jan 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.

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Jasmijn A. Baaijens, Jan Draisma. 2014-05-02. Euclidean Distance degrees of real algebraic groups. https://arxiv.org/abs/1405.0422

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