Regularization of Linear Approximate Schemes by the Gradient Descent

DOI10.1137/S0036142999364522zbMath1004.65066OpenAlexW2056793175MaRDI QIDQ2706411

V. G. Karmanov, Alexey F. Izmailov, Alexey A. Tret'yakov

Publication date: 19 March 2001

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142999364522

zbMATH Keywords

convergenceregularizationRichardson methodgradient methodlinear operator equationgradient descentimplicit iterationLandweber methodapproximate scheme

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) Linear operators and ill-posed problems, regularization (47A52)

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Stochastic gradient descent for linear inverse problems in Hilbert spaces

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