Optimal estimation of linear operators from inaccurate data: A second look

DOI10.1007/BF02109419zbMath0794.65052MaRDI QIDQ1315218

Charles A. Micchelli

Publication date: 17 March 1994

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

optimal algorithmoptimal estimation under uncertainty

Mathematics Subject Classification ID

Related Items (6)

Optimal recovery of operator sequences ⋮ Polyak's theorem on Hilbert spaces ⋮ On an asymptotic analysis of polynomial approximation to halfband filters ⋮ Joint spectra of Toeplitz operators and optimal recovery of analytic functions ⋮ Optimal recovery from inaccurate data in Hilbert spaces: regularize, but what of the parameter? ⋮ Optimal recovery of elements of a Hilbert space and their scalar products according to the Fourier coefficients known with errors

Cites Work

• Numerical solution of the finite moment problem in a reproducing kernel Hilbert space
• Admissible slopes for monotone and convex interpolation
• On the solution of the finite moment problem
• Approximation methods for the finite moment problem
• On the Field of Values of a Matrix
• Robust estimation and filtering in the presence of bounded noise
• Recovering a function from a finite number of moments
• Optimal Estimation of Linear Operators in Hilbert Spaces from Inaccurate Data
• Small Eigenvalues of Large Hankel Matrices
• Über den Wertevorrat einer Matrix

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