Conditionally well-posed and generalized well-posed problems

DOI10.1134/S0965542513060110zbMath1299.47022OpenAlexW1970961599MaRDI QIDQ5413112

Mikhail Yu. Kokurin

Publication date: 28 April 2014

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542513060110

zbMATH Keywords

ill-posed problemconditionally well-posed problemregularizing operatorcontinuous operator

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)

Related Items

On possibility of obtaining linear accuracy evaluation of approximate solutions to inverse problems ⋮ On the global minimization of discretized residual functionals of conditionally well-posed inverse problems ⋮ On the clustering of stationary points of Tikhonov's functional for conditionally well-posed inverse problems ⋮ Solution of ill-posed nonconvex optimization problems with accuracy proportional to the error in input data ⋮ Quasi-solution method and global minimization of the residual functional in conditionally well-posed inverse problems ⋮ Uniformly a posteriori error estimates for regularizing algorithms ⋮ Accuracy estimates of regularization methods and conditional well-posedness of nonlinear optimization problems ⋮ Ill-Posed Nonlinear Optimization Problems and Uniform Accuracy Estimates of Regularization Methods

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