The global search in the Tikhonov scheme

DOI10.3103/S1066369X10120029zbMath1227.47038MaRDI QIDQ646822

Mikhail Yu. Kokurin

Publication date: 18 November 2011

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

zbMATH Keywords

global optimizationill-posed problemlocal strong convexitysource-wise representationTikhonov scheme

Mathematics Subject Classification ID

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

• TIGRA

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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