2015arXiv (Cornell University)Open access

A New Version of a Posteriori Choosing Regularization Parameter in Ill-Posed Problems

V. S. Sizikov

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Abstract

The new version of a posteriori choice (NVAC) of the regularization parameter in the classical Tikhonov regularization method is considered. Lemmas and theorems on the error and the asymptotic convergence rate of the regularized solution are proved. A numerical example is given.

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The new version of a posteriori choice (NVAC) of the regularization parameter in the classical Tikhonov regularization method is considered. Lemmas and theorems on the error and the asymptotic convergence rate of the regularized solution are proved. A numerical example is given.

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Available abstract

The new version of a posteriori choice (NVAC) of the regularization parameter in the classical Tikhonov regularization method is considered. Lemmas and theorems on the error and the asymptotic convergence rate of the regularized solution are proved. A numerical example is given.

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

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