A characterization of an element of best simultaneous approximation

DOI10.1080/01630568308816176zbMath0564.41021OpenAlexW2061307351MaRDI QIDQ3678142

R. W. Owens

Publication date: 1983

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630568308816176

zbMATH Keywords

algorithmbest simultaneous approximation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Uniqueness of best approximation (41A52)

Cites Work

• Best simultaneous \(L_1\) approximations
• On simultaneous best approximations in \(C^1[a,b\)]
• On best simultaneous approximation in normed linear spaces
• Least-squares algorithms for finding solutions of overdetermined systems of linear equations which minimize error in a smooth strictly convex norm
• Solutions of overdetermined linear equations which minimize error in an abstract norm
• Least squares algorithms for finding solutions of overdetermined linear equations which minimize error in an abstract norm
• On simultaneous Chebyshev approximation and Chebyshev approximation with an additive weight
• On an algorithm for best approximate solutions to Av=b in normed linear spaces
• On Best Simultaneous Approximation in Normed Linear Spaces
• Convex Programming and Duality in Normed Space
• On simultaneous Chebyshev approximation
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