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We concentrate on the theoretical aspects of inverse problems in Chaps. 1 – 5 , but such analysis is often useful for qualification of numerical methods. In this section, we will show that rates of conditional stability for inverse problems proved by Carleman estimates can control the convergence rates of Tikhonov regularized solutions.

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Conditional Stability and Convergence Rates of the Tikhonov Regularization

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  • 发表日期：

    2025年

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  • Masahiro Yamamoto

摘要

We concentrate on the theoretical aspects of inverse problems in Chaps. 1 – 5 , but such analysis is often useful for qualification of numerical methods. In this section, we will show that rates of conditional stability for inverse problems proved by Carleman estimates can control the convergence rates of Tikhonov regularized solutions.