A predictor-corrector technique for constrained least-squares regularization |
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Authors: | Volkmar Friedrich Bernd Hofmann |
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Institution: | (1) Sektion Mathematik, Technische Hochschule Karl-Marx-Stadt, PSF 964, DDR-9010 Karl-Marx-Stadt, German Democratic Republic |
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Abstract: | Summary The paper describes a numerical strategy for the approximate solution of nonlinear, discretized, inverse problems by regularization. It is assumed that the solution of the associated direct problems and the computation of Fréchet derivatives are expensive. In order to minimize the amount of work, a predictor-corrector type algorithm is proposed. From a series of solutions to problems with a coarse discretization one obtains a starting approximation for a problem with a fine discretization. |
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Keywords: | AMS(MOS): 47H10 65M30 65J15 CR: G1 8 |
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