An improved version of Marti's method for solving ill-posed linear integral equations

Authors:
Heinz W. Engl and Andreas Neubauer

Journal:
Math. Comp. **45** (1985), 405-416

MSC:
Primary 65R20; Secondary 45L10

DOI:
https://doi.org/10.1090/S0025-5718-1985-0804932-1

MathSciNet review:
804932

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Abstract | References | Similar Articles | Additional Information

Abstract: We propose an algorithm for solving linear integral equations of the first kind that can be viewed as a variant of Marti's method; as opposed to that method, our algorithm leads to optimal convergence rates (also with noisy data).

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1985-0804932-1

Keywords:
Ill-posed problems,
regularization methods,
integral equations of the first kind

Article copyright:
© Copyright 1985
American Mathematical Society