Best Approximation Pair of Two Linear Varieties via an (In)Equality by (Fan-Todd) Beesack
Metric Geometry
2011-08-04 v1
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.
Keywords
Cite
@article{arxiv.1108.0858,
title = {Best Approximation Pair of Two Linear Varieties via an (In)Equality by (Fan-Todd) Beesack},
author = {M. A. Facas Vicente and Fernando Martins and Cecilia Costa and Jose Vitoria},
journal= {arXiv preprint arXiv:1108.0858},
year = {2011}
}