On the achievable level of accuracy for the solution of abstract ill-posed problems and nonlinear operator equations in a Banach space

DOI10.3103/S1066369X22030057MaRDI QIDQ2112336

Mikhail Yu. Kokurin, Anatoly B. Bakushinsky

Publication date: 10 January 2023

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

zbMATH Keywords

Banach spaceill-posed problemoperator equationaccuracy estimate

Mathematics Subject Classification ID

Linear function spaces and their duals (46Exx) Equations and inequalities involving nonlinear operators (47Jxx) Numerical analysis in abstract spaces (65Jxx)

Cites Work

• Iterative regularization methods for nonlinear ill-posed problems
• Investigation of methods of localization of \(q\)-jumps and discontinuities of first kind of noisy function
• On possibility of obtaining linear accuracy evaluation of approximate solutions to inverse problems
• On a class of finite-difference schemes for solving ill-posed Cauchy problems in Banach spaces
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