On optimal convergence for regularized Tikhonov approximations

DOI10.1007/BF00939774zbMath0621.65135OpenAlexW2089411956MaRDI QIDQ1090094

Julio E. Guacaneme

Publication date: 1988

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00939774

zbMATH Keywords

generalized solutionTikhonov regularizationill-posed problemsperturbed dataoptimal convergenceFredholm integral equation of the first kindRaleigh-Ritz approximations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical solutions to equations with linear operators (65J10) Fredholm integral equations (45B05)

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Cites Work

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• Necessary and sufficient conditions for convergence of regularization methods for solving linear operator equations of the first kind
• On the asymptotic order of accuracy of Tikhonov regularization