Relaxing the Kaczmarz algorithm stabilizes noisy reconstructions from stationary sequences, removes corruption from noise in H^∞(D) or subspaces of H²(D), and stabilizes Fourier series expansions in L²(μ) for singular μ.
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Stability of the Kaczmarz Reconstruction for Stationary Sequences
Relaxing the Kaczmarz algorithm stabilizes noisy reconstructions from stationary sequences, removes corruption from noise in H^∞(D) or subspaces of H²(D), and stabilizes Fourier series expansions in L²(μ) for singular μ.