On the solution of ill‐posed problems by projection methods with a posteriori choice of the discretization level

We consider linear ill‐posed problems Au = ƒ with minimum‐norm solution u*. Instead of ƒ noisy data ƒδ are given satisfying ‖ƒδ — ƒ‖ ≤ δ with known noise level 5. The projection methods for finding approximation unto u* are discussed in assumptions guaranteeing in case ƒδ = ƒ the monotone convergen...

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Bibliographic Details
Main Authors: U. Hamarik, E. Avi, A. Ganina
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2002-12-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/9848