Discrepancy Principle and Convergence Rates in Regularization of Monotone Ill-Posed Problems
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.
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| Datum: | 2003 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2003
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| Schriftenreihe: | Український математичний журнал |
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| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/163932 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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irk-123456789-1639322020-02-08T01:25:57Z Discrepancy Principle and Convergence Rates in Regularization of Monotone Ill-Posed Problems Nguyen Buong Короткі повідомлення 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 відповідно до принципу нев'язки Морозова встановлено швидкості збіжності як регуляризованих розв'язків нелінійних монотонних некоректних задач у банаховому просторі, так і їх наближень Гальоркіна. 2003 Article 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. 1027-3190 http://dspace.nbuv.gov.ua/handle/123456789/163932 517.9 en Український математичний журнал Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| topic |
Короткі повідомлення Короткі повідомлення |
| spellingShingle |
Короткі повідомлення Короткі повідомлення Nguyen Buong Discrepancy Principle and Convergence Rates in Regularization of Monotone Ill-Posed Problems Український математичний журнал |
| description |
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. |
| format |
Article |
| author |
Nguyen Buong |
| author_facet |
Nguyen Buong |
| author_sort |
Nguyen Buong |
| title |
Discrepancy Principle and Convergence Rates in Regularization of Monotone Ill-Posed Problems |
| title_short |
Discrepancy Principle and Convergence Rates in Regularization of Monotone Ill-Posed Problems |
| title_full |
Discrepancy Principle and Convergence Rates in Regularization of Monotone Ill-Posed Problems |
| title_fullStr |
Discrepancy Principle and Convergence Rates in Regularization of Monotone Ill-Posed Problems |
| title_full_unstemmed |
Discrepancy Principle and Convergence Rates in Regularization of Monotone Ill-Posed Problems |
| title_sort |
discrepancy principle and convergence rates in regularization of monotone ill-posed problems |
| publisher |
Інститут математики НАН України |
| publishDate |
2003 |
| topic_facet |
Короткі повідомлення |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/163932 |
| citation_txt |
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. |
| series |
Український математичний журнал |
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2025-07-14T16:26:43Z |
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