Preconditioning conjugate gradient with symmetric algebraic reconstruction technique (ART) in computerized tomography

DOI10.1016/S0168-9274(03)00056-4zbMath1031.65060OpenAlexW1982969356MaRDI QIDQ1412345

Reginaldo J. Santos

Publication date: 10 November 2003

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(03)00056-4

zbMATH Keywords

preconditioningiterative methodscomputerized tomographyill-posed problemsconjugate gradient (CG) methodgeneralized least square problemsymmetric algebraic reconstruction technique

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Biomedical imaging and signal processing (92C55) Iterative numerical methods for linear systems (65F10)

Uses Software

• SNARK93

Cites Work

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• Regularization methods for large-scale problems
• Projection method for solving a singular system of linear equations and its applications
• Pseudoinversus and conjugate gradients
• Accelerated projection methods for computing pseudoinverse solutions of systems of linear equations
• A Statistical Model for Positron Emission Tomography
• Methods of conjugate gradients for solving linear systems

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