Convergence rates for regularized solutions

Author:
Mark A. Lukas

Journal:
Math. Comp. **51** (1988), 107-131

MSC:
Primary 65R20; Secondary 41A25, 45L05

DOI:
https://doi.org/10.1090/S0025-5718-1988-0942146-8

MathSciNet review:
942146

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Abstract | References | Similar Articles | Additional Information

Abstract: Given a first-kind integral equation

*W*of the regularization functional . It is shown that in any one of a wide class of norms, which includes , if in a certain way as , then converges to the true solution . Convergence rates are obtained and are used to estimate the optimal regularization parameter .

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DOI:
https://doi.org/10.1090/S0025-5718-1988-0942146-8

Article copyright:
© Copyright 1988
American Mathematical Society