Parameter Choice Strategy That Computes Regularization Parameter before Computing the Regularized Solution
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2024-05-13
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Abstract
The modeling of many problems of practical interest leads to nonlinear ill-posed equations (for example, the parameter identification problem (see the Numerical section)). In this article, we introduce a new source condition (SC) and a new parameter choice strategy (PCS) for the Tikhonov regularization (TR) method for nonlinear ill-posed problems. The new PCS is introduced using a new SC to compute the regularization parameter (RP) before computing the regularized solution. The theoretical results are verified using a numerical example.
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Modelling 5 (2): 530-548 (2024)