On the Optimality of Methods for Ill-Posed Problems
Copyright policy )On the Optimality of Methods for Ill-Posed Problems
The optimality of a class of regularization methods for linear ill-posed problems is investigated. The general results are applied to Lavrentjew’s and Tikhonov’s methods and to a class of iteration methods and their continuous versions.
- University of Tartu Estonia
Hilbert spaces, Numerical solutions to equations with linear operators, Tikhonov regularization, optimal methods, iterative methods, worst-case error, parameter choice strategies, Fredholm integral equations, ill-posed problem, Numerical methods for integral equations, Equations and inequalities involving linear operators, with vector unknowns
Hilbert spaces, Numerical solutions to equations with linear operators, Tikhonov regularization, optimal methods, iterative methods, worst-case error, parameter choice strategies, Fredholm integral equations, ill-posed problem, Numerical methods for integral equations, Equations and inequalities involving linear operators, with vector unknowns
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