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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

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
MathSciNet review: 804932
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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: http://dx.doi.org/10.1090/S0025-5718-1985-0804932-1
PII: S 0025-5718(1985)0804932-1
Keywords: Ill-posed problems, regularization methods, integral equations of the first kind
Article copyright: © Copyright 1985 American Mathematical Society