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An iterative stabilization method for the evaluation of unbounded operators
Author(s):
C.
W.
Groetsch
Journal:
Proc. Amer. Math. Soc.
134
(2006),
1173-1181.
MSC (2000):
Primary 65J20, 47A52;
Secondary 47A58
Posted:
July 20, 2005
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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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- 2.
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- 3.
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- 4.
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Additional Information:
C.
W.
Groetsch
Affiliation:
Department of Mathematics, University of Cincinnati, Cincinnati, Ohio 45221-0025
Email:
groetsch@uc.edu
DOI:
10.1090/S0002-9939-05-08051-2
PII:
S 0002-9939(05)08051-2
Keywords:
Inverse problem,
ill-posed problem,
unbounded operator,
stabilized evaluation
Received by editor(s):
November 22, 2003
Received by editor(s) in revised form:
October 25, 2004
Posted:
July 20, 2005
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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