Convexity of the Tikhonov functional and iteratively regularized methods for solving irregular nonlinear operator equations

Iterative procedures involving nonlinear operators (47J25) Nonlinear ill-posed problems (47J06) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Related Items (10)

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 ⋮ Modified steepest descent method for nonlinear irregular operator equations ⋮ Iteratively regularized methods for irregular nonlinear operator equations with a normally solvable derivative at the solution ⋮ The Levenberg-Marquardt method for approximation of solutions of irregular operator equations ⋮ 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 ⋮ On sequential minimization of Tikhonov functionals in ill-posed problems with a priori information on solutions

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