The instability of some gradient methods for ill-posed problems |
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Authors: | Bertolt Eicke Alfred K Louis Robert Plato |
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Institution: | (1) Fachbereich Mathematik, Technische Universität Berlin, Strasse des 17. Juni 135, D-1000 Berlin 12 |
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Abstract: | Summary For the solution of linear ill-posed problems some gradient methods like conjugate gradients and steepest descent have been examined previously in the literature. It is shown that even though these methods converge in the case of exact data their instability makes it impossible to base a-priori parameter choice regularization methods upon them. |
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Keywords: | AMS(MOS): 65J10 CR: G1 8 |
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