Improved Accuracy Estimation of the Tikhonov Method for Ill-Posed Optimization Problems in Hilbert Space

The Tikhonov method is studied as applied to ill-posed problems of minimizing a smooth nonconvex functional. Assuming that the sought solution satisfies the source condition, an accuracy estimate for the Tikhonov method is obtained in terms of the regularization parameter. Previously, such an estima...

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Vydáno v:	Computational mathematics and mathematical physics Ročník 63; číslo 4; s. 519 - 527
Hlavní autor:	Kokurin, M. M.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Moscow Pleiades Publishing 01.04.2023 Springer Nature B.V
Témata:	Accuracy Approximation Computational Mathematics and Numerical Analysis Estimates General Numerical Methods Hilbert space Ill posed problems Inequality Mathematics Mathematics and Statistics Optimization Regularization Regularization methods ill-posed optimization problem in Hilbert space Tikhonov method accuracy estimation
ISSN:	0965-5425, 1555-6662
On-line přístup:	Získat plný text
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