Abstract
It is well known that Tikhonov’s regularization method for ill-posed problems has a direct correspondence to certain predictors in the context of random effects models. Hence not only the iteration scheme of King/Chillingworth (1979) or E. Schock (1984) can easily be derived in full analogy to the iterated inhomBLIP (Best inhomogeneously LInear Predictor), but also an apparently new scheme is readily developed following the iterated homBLUP (Best homogeneously Linear weakly Unbiased Predictor) approach by B. Schaffrin (1985) which has some relations to a robustified Krige type prediction. The performance of the proposed iteration scheme with particular regard to its convergence properties is shown by an example from geodesy.
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© 1990 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig
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Schaffrin, B., Middel, B. (1990). Robust Predictors and an Alternative Iteration Scheme for Ill-posed Problems. In: Vogel, A., Ofoegbu, C.O., Gorenflo, R., Ursin, B. (eds) Geophysical Data Inversion Methods and Applications. Theory and Practice of Applied Geophysics. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-89416-8_3
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DOI: https://doi.org/10.1007/978-3-322-89416-8_3
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