KACZMARZ ALGORITHM AND FRAMES

DOI10.1142/S0219691313500367zbMath1279.65057arXiv1409.8310MaRDI QIDQ2855822

Wojciech Czaja, James Tanis

Publication date: 22 October 2013

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.8310

zbMATH Keywords

convergenceiterative algorithmRiesz basisHilbert spacecomputer tomographyBessel sequenceKaczmarz algorithmframe theoryalgebraic reconstruction technique

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items (3)

Stability of the Kaczmarz reconstruction for stationary sequences ⋮ The dual Kaczmarz algorithm ⋮ A Kaczmarz algorithm for sequences of projections, infinite products, and applications to frames in IFS \(L^2\) spaces

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• COMPACTLY SUPPORTED MULTIVARIATE, PAIRS OF DUAL WAVELET FRAMES OBTAINED BY CONVOLUTION
• Kaczmarz algorithm in Hilbert space
• Approximate solution of systems of linear equations†
• WEIGHTED AND CONTROLLED FRAMES: MUTUAL RELATIONSHIP AND FIRST NUMERICAL PROPERTIES

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