A note on the ART of relaxation

DOI10.1007/BF02242277zbMath0569.65032OpenAlexW172623761MaRDI QIDQ1060809

Manfred R. Trummer

Publication date: 1984

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02242277

zbMATH Keywords

relaxationimage reconstructiongeneralized inversesinconsistent systemsART algorithmweighted least squares solution

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Iterative numerical methods for linear systems (65F10)

Related Items

A projection method for semidefinite linear systems and its applications, On some optimization techniques in image reconstruction from projections, Convergence of the multiplicative algebraic reconstruction technique for the inconsistent system of equations, EM Algorithms, Convergence properties of ART and SOR algorithms, Numerical conformal mapping via the Szegö kernel

Cites Work

• Reconstructing pictures from projections: On the convergence of the ART algorithm with relaxation
• Strong underrelaxation in Kaczmarz's method for inconsistent systems
• On the convergence of the discrete ART algorithm for the reconstruction of digital pictures from their projections
• Row-Action Methods for Huge and Sparse Systems and Their Applications
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