2015•Unpublished venueRequires access

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

V. 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.

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Available abstract

Key concepts: Tikhonov regularization, Backus–Gilbert method, Regularization (linguistics), A priori and a posteriori, Regularization perspectives on support vector machines, Well-posed problem, Mathematics, Rate of convergence