On nonuniqueness in nonlinear \(L_ 2\)-approximation

DOI10.1016/0021-9045(87)90094-3zbMath0633.41024OpenAlexW2016893026MaRDI QIDQ1096109

Immo Diener

Publication date: 1987

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(87)90094-3

zbMATH Keywords

local best approximationsnonlinear \(L_ 2\) approximations

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by rational functions (41A20)

Related Items (5)

Least squares and Chebyshev fitting for parameter estimation in ODEs ⋮ On nonuniqueness in rational \(L_ p\)-approximation ⋮ Trajectory nets connecting all critical points of a smooth function ⋮ On the global convergence of path-following methods to determine all solutions to a system of nonlinear equations ⋮ Nonlinear Chebyshev fitting from the solution of ordinary differential equations

Cites Work

• Unnamed Item
• On the unicity of nonlinear approximation in smooth spaces
• On rational \(L_2\)-Approximation
• Mean-square approximation by generalized rational functions
• Zur Mehrdeutigkeit bei der Approximation in der \(L_ p\)-Norm mit Hilfe rationaler Funktionen

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