Coordinated approximation method for nonlinear ill-posed problems
Copyright policy )Coordinated approximation method for nonlinear ill-posed problems
Summary: A generalization of the method of coordinated approximation suggested by \textit{Yu. Gaponenko} [Ill-posed problems on weak compacta (1989; Zbl 0696.65053)] for the space \(L_2(0, 1)\) is developed for abstract Hilbert spaces. In particular, it is shown that, for \(L_2(0, 1)\), some assumptions concerning an exact solution can be weakened.
- Hanoi University Viet Nam
Hilbert spaces, Numerical solutions of ill-posed problems in abstract spaces; regularization, Iterative procedures involving nonlinear operators, Numerical solutions to equations with nonlinear operators, nonlinear ill-posed problems, method of coordinated approximation
Hilbert spaces, Numerical solutions of ill-posed problems in abstract spaces; regularization, Iterative procedures involving nonlinear operators, Numerical solutions to equations with nonlinear operators, nonlinear ill-posed problems, method of coordinated approximation
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