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arXiv · 1312.4406

Euclidean Distance between Two Linear Varieties

M. A. Facas Vicente·Armando Gonçalves·José Vitória
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Abstract

This paper addresses to the problem of finding the (minimum) Euclidean distance between two linear varieties. This problem is, usually, solved minimising a target function. We propose a novel approach: to use the Moore-Penrose generalised inverse of a matrix in order to find the Euclidean distance and, at the same time, going further by exhibiting the best approximation pair of points.

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M. A. Facas Vicente, Armando Gonçalves, José Vitória. 2013-12-16. Euclidean Distance between Two Linear Varieties. https://arxiv.org/abs/1312.4406

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