The conjugate gradient method for linear ill-posed problems with operator perturbations

DOI10.1023/A:1019139414435zbMath0935.65059OpenAlexW2258241217MaRDI QIDQ1293729

Robert Plato

Publication date: 15 May 2000

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1019139414435

zbMATH Keywords

convergenceparameter estimationHilbert spacesill-posed problemnormal equationsmethod of conjugate gradientsoperator perturbationCGNR-method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50) Numerical methods for ill-posed problems for integral equations (65R30) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)

Related Items (3)

A descent hybrid conjugate gradient method based on the memoryless BFGS update ⋮ Regularization of linear ill-posed problems involving multiplication operators ⋮ Determination of a source in the heat equation from integral observations

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