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Linear Algebra and Its Applications
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On the relationship between the Hausdorff distance and matrix distances of ellipsoids

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Abstract

The space of ellipsoids may be metrized by the Hausdorff distance or by the sum of the distance between their centers and a distance between matrices. Various inequalities between metrics are established. It follows that the square root of positive semidefinite symmetric matrices satisfies a Lipschitz condition, with a constant which depends only on the dimension of the space. © 1983.

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Linear Algebra and Its Applications

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