Iteratively regularized Gauss-Newton method for operator equations with normally solvable derivative at the solution
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Publication:328757
DOI10.3103/S1066369X16080016zbMathNoneMaRDI QIDQ328757
Mikhail Yu. Kokurin, Anatoly B. Bakushinsky
Publication date: 21 October 2016
Published in: Russian Mathematics (Search for Journal in Brave)
Hilbert spaceiterative regularizationstopping ruleoperator equationGauss-Newton methodaccuracy estimateirregular operatornormally solvable operator
Related Items (5)
A simplified iteratively regularized projection method for nonlinear ill-posed problems ⋮ On TSVD regularization for a Broyden-type algorithm ⋮ A study of frozen iteratively regularized Gauss-Newton algorithm for nonlinear ill-posed problems under generalized normal solvability condition ⋮ On stable parameter estimation and forecasting in epidemiology by the Levenberg-Marquardt algorithm with Broyden's rank-one updates for the Jacobian operator ⋮ A study of a posteriori stopping in iteratively regularized Gauss-Newton-type methods for approximating quasi-solutions of irregular operator equations
Cites Work
- Iterative methods of stochastic approximation for solving non-regular nonlinear operator equations
- Iterative regularization methods for nonlinear ill-posed problems
- Inverse and ill-posed problems. Theory and applications.
- On a class of finite-difference schemes for solving ill-posed Cauchy problems in Banach spaces
- Can an a priori error estimate for an approximate solution of an ill-posed problem be comparable with the error in data?
- ON APPLICATION OF GENERALIZED DISCREPANCY PRINCIPLE TO ITERATIVE METHODS FOR NONLINEAR ILL-POSED PROBLEMS
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