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arXiv · 1108.0858

Best Approximation Pair of Two Linear Varieties via an (In)Equality by (Fan-Todd) Beesack

M. A. Facas Vicente·Fernando Martins·Cecilia Costa·Jose Vitoria
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Abstract

The closest point of a linear variety to an external point is found by using the equality case of an Ostrowski's type inequality. This point is given in closed form as the quotient of a (formal) and a (scalar) Gram determinant. Then, the best approximation pair of points onto two linear varieties is given, as well as characterization of this pair of best approximation points.

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M. A. Facas Vicente, Fernando Martins, Cecilia Costa, Jose Vitoria. 2011-08-03. Best Approximation Pair of Two Linear Varieties via an (In)Equality by (Fan-Todd) Beesack. https://arxiv.org/abs/1108.0858

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