Maximum entropy method for solving operator equations of the first kind

DOI10.1007/BF02896956zbMath0891.65057OpenAlexW2023115804MaRDI QIDQ1368261

Zongyi Hou, Qi-nian Jin

Publication date: 19 July 1998

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02896956

zbMATH Keywords

stabilityconvergenceTikhonov regularizationmaximum entropy methodfirst-kind linear operator equationnonquadratic optimization

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Cites Work

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• Convergence rates for Tikhonov regularisation of non-linear ill-posed problems
• A Hilbert space approach to maximum entropy reconstruction
• Maximum entropy regularization of Fredholm integral equations of the first kind
• Convergence of Best Entropy Estimates
• The general Arcangeli's method for solving ill-posed problems

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