Vicente, M. A. FacasVitória, JoséM. L. Martins, FernandoCosta, C.Tadeu, Pedro2023-09-282023-09-282018http://hdl.handle.net/10400.26/46826The 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 a 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 obtained, besides its characterization.engDistance between linear varieties in ℝn. application of an (in)equality by (fan-todd) beesackjournal articlehttp://dx.doi.org/10.17654/MS109010057