On the Kaczmarz algorithm of approximation in infinite-dimensional spaces

DOI10.4064/sm148-1-7zbMath0987.41020OpenAlexW2001492813MaRDI QIDQ2773393

Jan Mycielski, Stanislaw Kwapien

Publication date: 21 February 2002

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm148-1-7

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Prediction theory (aspects of stochastic processes) (60G25)

Related Items (15)

The Kaczmarz algorithm in Banach spaces ⋮ Kaczmarz algorithm in Hilbert space and tight frames ⋮ Almost sure convergence of the Kaczmarz algorithm with random measurements ⋮ Model subspaces techniques to study Fourier expansions in \(L^2\) spaces associated to singular measures ⋮ Fourier Series for Fractals in Two Dimensions ⋮ A characterization of boundary representations of positive matrices in the Hardy space via the Abel product ⋮ Stability of the Kaczmarz reconstruction for stationary sequences ⋮ Fourier series for singular measures ⋮ A matrix characterization of boundary representations of positive matrices in the Hardy space ⋮ The dual Kaczmarz algorithm ⋮ A Paley-Wiener type theorem for singular measures on \((-1/2, 1/2)\) ⋮ A Kaczmarz algorithm for sequences of projections, infinite products, and applications to frames in IFS \(L^2\) spaces ⋮ Positive matrices in the Hardy space with prescribed boundary representations via the Kaczmarz algorithm ⋮ KACZMARZ ALGORITHM AND FRAMES ⋮ A Kaczmarz Algorithm for Solving Tree Based Distributed Systems of Equations

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