A class of regularization methods for ill-posed problems with nonexact data
- 1 January 1992
- journal article
- research article
- Published by Taylor & Francis in Numerical Functional Analysis and Optimization
- Vol. 13 (5-6) , 601-614
- https://doi.org/10.1080/01630569208816502
Abstract
The paper deals with approximate methods for solving ill-posed problems with nonselfadjoint bounded linear operators acting in a Hilbert space. The case of nonexact right hand side is considered. A posteriori choice of a method parameter n(δ) depending on the error of data is based on the value of the residuum. The convergence of approximate solution when δ → 0 is investigated and the parameter n(δ) is estimated. The simple iteration method is considered in more detail.Keywords
This publication has 3 references indexed in Scilit:
- On the regularization of projection methods for solving III-posed problemsNumerische Mathematik, 1990
- A class of regularization methods for ill posed problemsNumerical Functional Analysis and Optimization, 1990
- Asymptotic regularization for integral equations of the first kindNumerical Functional Analysis and Optimization, 1989