Characterization of best approximations in normed linear spaces of matrices by elements of finite-dimensional linear subspaces

DOI10.1016/0024-3795(81)90268-8zbMath0468.41020OpenAlexW2084406124WikidataQ127482075 ScholiaQ127482075MaRDI QIDQ1156318

S. H. Smith

Publication date: 1981

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(81)90268-8

zbMATH Keywords

numerical exampleextremal points

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (8)

Properties of linear approximations of matrices in the spectral norm ⋮ Subdifferentials, faces, and dual matrices ⋮ On best approximations in Banach spaces from the perspective of orthogonality ⋮ On the characterization of the extremal points of the unit sphere of matrices ⋮ Strongly Chebyshev subspaces of matrices ⋮ On the extremal structure of least upper bound norms and their dual ⋮ Distance formulae and best approximation in the space of compact operators ⋮ On best approximations to compact operators

Cites Work

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