Iteratively regularized Gauss-Newton method for operator equations with normally solvable derivative at the solution

DOI10.3103/S1066369X16080016zbMathNoneMaRDI QIDQ328757

Mikhail Yu. Kokurin, Anatoly B. Bakushinsky

Publication date: 21 October 2016

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

zbMATH Keywords

Hilbert spaceiterative regularizationstopping ruleoperator equationGauss-Newton methodaccuracy estimateirregular operatornormally solvable operator

Mathematics Subject Classification ID

Operator theory (47-XX) Partial differential equations (35-XX)

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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