Discrepancy Principle and Convergence Rates in Regularization of Monotone Ill-Posed Problems

• Published in: Український математичний журнал
• Date: 2003
• Main Author: Nguyen Buong
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2003
• Subjects: Короткі повідомлення
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/163932
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Discrepancy Principle and Convergence Rates in Regularization of Monotone Ill-Posed Problems / Nguyen Buong // Український математичний журнал. — 2003. — Т. 55, № 7. — С. 991–997. — Бібліогр.: 20 назв. — англ.

The convergence rates of the regularized solution as well as its Galerkin approximations for nonlinear monotone ill-posed problems in a Banach space are established on the basis of the choice of a regularization parameter by the Morozov discrepancy principle. На основі вибору параметра регуляризації...