A constrained approximation problem arising in parameter identification

DOI10.1016/S0024-3795(01)00445-1zbMath1001.65067OpenAlexW2040880180WikidataQ56319388 ScholiaQ56319388MaRDI QIDQ1611917

Jean-Paul Marmorat, Birgit Jacob, Jonathan R. Partington, Juliette Leblond

Publication date: 28 August 2002

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(01)00445-1

zbMATH Keywords

algorithmnumerical exampleinverse problemparameter identificationconstrained approximation

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving ordinary differential equations (49J15) Inverse problems involving ordinary differential equations (34A55) Discrete approximations in optimal control (49M25)

Related Items (6)

An operator theoretical approach of some inverse problems ⋮ On Some Extremal Problems for Analytic Functions with Constraints on Real or Imaginary Parts ⋮ Bounded extremal problems in Hardy spaces for the conjugate Beltrami equation in simply-connected domains ⋮ Hardy spaces of the conjugate Beltrami equation ⋮ Constrained extremal problems in $H^2$ and Carleman's formulae ⋮ Analytic approximation with real constraints, with applications to inverse diffusion problems

Cites Work

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• Worst-case control-relevant identification
• Hardy approximation to \(L^ \infty\) functions on subsets of the circle
• How can the meromorphic approximation help to solve some 2D inverse problems for the Laplacian?
• Conditions for Optimality over $H^\infty $
• Robust identification from band-limited data
• Parameter identification for Laplace equation and approximation in Hardy classes

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