%0 Journal Article
%T Best Approximation Pair of Two Linear Varieties via an (In)Equality by (Fan-Todd) Beesack
%A M. A. Facas Vicente
%A Fernando Martins
%A Cecilia Costa
%A Jose Vitoria
%J Mathematics
%D 2011
%I arXiv
%X 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.
%U http://arxiv.org/abs/1108.0858v1