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.
Saved in:
| Date: | 2003 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2003
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3974 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510105027477504 |
|---|---|
| author | Nguen, Byong Нгуєн, Бионг |
| author_facet | Nguen, Byong Нгуєн, Бионг |
| author_sort | Nguen, Byong |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:17:28Z |
| 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. |
| first_indexed | 2026-03-24T02:51:42Z |
| format | Article |
| fulltext |
0127
0128
0129
0130
0131
0132
0133
|
| id | umjimathkievua-article-3974 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T02:51:42Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/b2/85cdecaed9daceaadbe2fbd88735ccb2.pdf |
| spelling | umjimathkievua-article-39742020-03-18T20:17:28Z Discrepancy Principle and Convergence Rates in Regularization of Monotone Ill-Posed Problems Принцип нев'язки та швидкості збіжності при регуляризацп монотонних некоректних задач Nguen, Byong Нгуєн, Бионг 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 пибору 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. Institute of Mathematics, NAS of Ukraine 2003-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3974 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 7 (2003); 991-997 Український математичний журнал; Том 55 № 7 (2003); 991-997 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/3974/4660 https://umj.imath.kiev.ua/index.php/umj/article/view/3974/4661 Copyright (c) 2003 Nguen Byong |
| spellingShingle | Nguen, Byong Нгуєн, Бионг Discrepancy Principle and Convergence Rates in Regularization of Monotone Ill-Posed Problems |
| title | Discrepancy Principle and Convergence Rates in Regularization of Monotone Ill-Posed Problems |
| title_alt | Принцип нев'язки та швидкості збіжності при регуляризацп монотонних некоректних задач |
| 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_short | 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 |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3974 |
| work_keys_str_mv | AT nguenbyong discrepancyprincipleandconvergenceratesinregularizationofmonotoneillposedproblems AT nguênbiong discrepancyprincipleandconvergenceratesinregularizationofmonotoneillposedproblems AT nguenbyong principnev039âzkitašvidkostízbížnostípriregulârizacpmonotonnihnekorektnihzadač AT nguênbiong principnev039âzkitašvidkostízbížnostípriregulârizacpmonotonnihnekorektnihzadač |