Tikhonov正则化中正则化参数的先验选择技术

IF 0.3 Q4 MATHEMATICS, APPLIED

International Journal of Applied Mathematics & Statistics Pub Date : 2005-04-27 DOI:10.12988/imf.2006.06023

M. Iqbal

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引用次数: 1

摘要

本文基于不适定逆问题的条件稳定性估计，提出了一种Tikhonov正则化中正则化参数的先验选择策略。我们证明了它可以应用于广泛的一类反问题。并证明了正则化解的收敛速度。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Techniques for a priori Choice of Regularizing Parameters in Tikhonov Regularization

In this paper, we propose a new strategy for a priori choice of regularization parameters in Tikhonov’s regularization, based on the conditional stability estimate for illposed inverse problems. We show that it can be applied to a wide class of inverse problems. The convergence rate of the regularized solutions is also proved.

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来源期刊

International Journal of Applied Mathematics & Statistics MATHEMATICS, APPLIED-

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