An iterative stabilization method for the evaluation of unbounded operators
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- by C. W. Groetsch PDF
- Proc. Amer. Math. Soc. 134 (2006), 1173-1181 Request permission
Abstract:
We investigate a stable iterative approximate evaluation method for closed unbounded operators such as those that occur frequently in inverse problems. Convergence theorems, as well as order of approximation results, are proved for both a priori and a posteriori schemes for choosing the stopping index of the iteration.References
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Additional Information
- C. W. Groetsch
- Affiliation: Department of Mathematics, University of Cincinnati, Cincinnati, Ohio 45221-0025
- Email: groetsch@uc.edu
- Received by editor(s): November 22, 2003
- Received by editor(s) in revised form: October 25, 2004
- Published electronically: July 20, 2005
- Communicated by: Joseph A. Ball
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 1173-1181
- MSC (2000): Primary 65J20, 47A52; Secondary 47A58
- DOI: https://doi.org/10.1090/S0002-9939-05-08051-2
- MathSciNet review: 2196054