Distance between linear varieties in ℝn. application of an (in)equality by (fan-todd) beesack

Vicente, M. A. Facas; Vitória, José; M. L. Martins, Fernando; Costa, C.; Tadeu, Pedro

http://hdl.handle.net/10400.26/46826

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Authors

Vicente, M. A. Facas

Vitória, José

M. L. Martins, Fernando

Costa, C.

Tadeu, Pedro

Abstract(s)

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.