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Further Development of the New Version of a Posteriori Choosing Regularization Parameter in Ill-Posed Problems

Valery S. Sizikov

Abstract


Further development of the new version of a posteriori choosing (NVAC) the regularization parameter in the Tikhonov regularization method is performed. Refined lemmas and theorems on the error and the convergence rate of the regularized solution using its sourcewise representability are proved. A numerical example is given.

Keywords


The Tikhonov regularization method, choosing the regularization parameter, error estimates for regularized solution, sourcewise representability of the solution.

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