Regularization algorithms for ill-posed problems

DOI10.1515/9783110557350zbMath1436.65004OpenAlexW2791695920MaRDI QIDQ1690183

Anatoly B. Bakushinsky, Mikhail M. Kokurin, Mikhail Yu. Kokurin

Publication date: 19 January 2018

Published in: Inverse and Ill-Posed Problems Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/9783110557350

zbMATH Keywords

optimizationinverse problemregularizationvariational inequalityTikhonov regularizationregularization methodgradient methodill-posed problemLandweber iterationNewton-Kantorovich methodrandom noisemultistep methodill-posed Cauchy problemiterated Tikhonov regularizationGauß-Newton methodabstract Cauchy problem methodheat equation backwards in timeRiesz-Dunford formula

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Nonlinear ill-posed problems (47J06) Numerical methods for ill-posed problems for integral equations (65R30) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for integral equations (65R32) Linear operators and ill-posed problems, regularization (47A52) Inverse problems in optimal control (49N45) Numerical solution to inverse problems in abstract spaces (65J22)

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