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

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

2011-08-03

arxiv.org/abs/1108.0858v1

Mathematics

Metric Geometry

Scientific paper

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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