The global search in the Tikhonov scheme
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Publication:646822
DOI10.3103/S1066369X10120029zbMath1227.47038MaRDI QIDQ646822
Publication date: 18 November 2011
Published in: Russian Mathematics (Search for Journal in Brave)
Nonlinear ill-posed problems (47J06) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)
Related Items (9)
A regularizing multilevel approach for nonlinear inverse problems ⋮ Source conditions and accuracy estimates in Tikhonov's scheme of solving ill-posed nonconvex optimization problems ⋮ Reduction of variational inequalities with irregular operators on a ball to regular operator equations ⋮ On the clustering of stationary points of Tikhonov's functional for conditionally well-posed inverse problems ⋮ Iteratively regularized methods for irregular nonlinear operator equations with a normally solvable derivative at the solution ⋮ Sourcewise representability conditions and power estimates of convergence rate in Tikhonov's scheme for solving ill-posed extremal problems ⋮ A global minimization algorithm for Tikhonov functionals with sparsity constraints ⋮ Accuracy estimation for a class of iteratively regularized Gauss-Newton methods with a posteriori stopping rule ⋮ Finite-dimensional iteratively regularized processes with an a posteriori stopping for solving irregular nonlinear operator equations
Uses Software
Cites Work
- TIGRA an iterative algorithm for regularizing nonlinear ill-posed problems
- Toward Global Convergence for Strongly Nonlinear Ill-Posed Problems via a Regularizing Multilevel Approach
- Tikhonov replacement functionals for iteratively solving nonlinear operator equations
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