2011/08/03 by M. A. Facas Vicente, Fernando Martíns, Vicente, M. A. Facas +8
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Advanced Optimization Algorithms Research #FOS: Mathematics #Matrix Theory and Algorithms #Metric Geometry (math.MG) #math.MG
paper · pdf · doi:10.48550/arxiv.1108.0858
arxiv created 2011/08/03 · openalex publication_date 2011/08/03 · arxiv updated 2011/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.