Distance Between Linear Varieties in $R^{n}$. Application of an (In)Equality by (FAN-TODD) BEESACK
Vicente, M. A.
; Vitória, José
;
Martins, F.
; Costa, C.
; Tadeu, P.
East Asian Journal on Applied Mathematics Vol. 109, Nº 1, pp. 57 - 88, December, 2018.
ISSN (print): 2079-7362
ISSN (online): 2079-7370
Scimago Journal Ranking: 0,38 (in 2018)
Digital Object Identifier:
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 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.
