Necessary conditions for the convergence of iterative methods for solving irregular nonlinear operator equations

zbMath0994.65062MaRDI QIDQ5954714

N. A. Yusupova, Anatoly B. Bakushinsky, Mikhail Yu. Kokurin

Publication date: 29 September 2002

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

convergenceinverse problemsiterative methodsregularity conditionirregular nonlinear operator equations

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Nonlinear ill-posed problems (47J06) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical solution to inverse problems in abstract spaces (65J22)

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Direct and converse theorems for iterative methods of solving irregular operator equations and finite difference methods for solving ill-posed Cauchy problems

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