Sourcewise representability conditions and power estimates of convergence rate in Tikhonov's scheme for solving ill-posed extremal problems

DOI10.3103/S1066369X1407007XzbMath1329.49043MaRDI QIDQ2262912

Mikhail Yu. Kokurin

Publication date: 17 March 2015

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hilbert spaceconvergence ratesourcewise representability conditionTikhonov's schemeill-posed optimization problem

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Numerical methods of relaxation type (49M20)

Related Items (3)

Source conditions and accuracy estimates in Tikhonov's scheme of solving ill-posed nonconvex optimization problems ⋮ Convergence rate estimates for Tikhonov's scheme as applied to ill-posed nonconvex optimization problems ⋮ Necessary and sufficient conditions for power convergence rate of approximations in Tikhonov's scheme for solving ill-posed optimization problems

Cites Work

• The global search in the Tikhonov scheme
• On sequential minimization of Tikhonov functionals in ill-posed problems with a priori information on solutions
• Convexity of the Tikhonov functional and iteratively regularized methods for solving irregular nonlinear operator equations
• On the method of Lavrentiev regularization for nonlinear ill-posed problems
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