Flipped structured matrix-sequences in image deblurring with general boundary conditions
Motivated by a recent work on a preconditioned MINRES for flipped linear systems in imaging, in this note we extend the scope of that research for including more precise boundary conditions such as reflective and anti-reflective ones. We prove spectral results for the matrix-sequences associated to...
Saved in:
| Main Authors | , , |
|---|---|
| Format | Journal Article |
| Language | English |
| Published |
19.02.2024
|
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Abstract | Motivated by a recent work on a preconditioned MINRES for flipped linear
systems in imaging, in this note we extend the scope of that research for
including more precise boundary conditions such as reflective and
anti-reflective ones. We prove spectral results for the matrix-sequences
associated to the original problem, which justify the use of the MINRES in the
current setting. The theoretical spectral analysis is supported by a wide
variety of numerical experiments, concerning the visualization of the spectra
of the original matrices in various ways. We also report numerical tests
regarding the convergence speed and regularization features of the associated
GMRES and MINRES methods. Conclusions and open problems end the present study. |
|---|---|
| AbstractList | Motivated by a recent work on a preconditioned MINRES for flipped linear
systems in imaging, in this note we extend the scope of that research for
including more precise boundary conditions such as reflective and
anti-reflective ones. We prove spectral results for the matrix-sequences
associated to the original problem, which justify the use of the MINRES in the
current setting. The theoretical spectral analysis is supported by a wide
variety of numerical experiments, concerning the visualization of the spectra
of the original matrices in various ways. We also report numerical tests
regarding the convergence speed and regularization features of the associated
GMRES and MINRES methods. Conclusions and open problems end the present study. |
| Author | Ferrari, Paola Serra-Capizzano, Stefano Furci, Isabella |
| Author_xml | – sequence: 1 givenname: Paola surname: Ferrari fullname: Ferrari, Paola – sequence: 2 givenname: Isabella surname: Furci fullname: Furci, Isabella – sequence: 3 givenname: Stefano surname: Serra-Capizzano fullname: Serra-Capizzano, Stefano |
| BackLink | https://doi.org/10.48550/arXiv.2402.12059$$DView paper in arXiv |
| BookMark | eNotz7FOwzAUBVAPMEDhA5jwDyQ823USj6iiFKkSSwe26Nl-CZZSJzgJtH9PW5juna7uuWVXsY_E2IOAfFlpDU-YDuE7l0uQuZCgzQ37WHdhGMjzcUqzm-Z0qnucUjhkI33NFB2NPEQe9tgS92S7OaUQW_4Tpk_eUqSEHbf9HD2mI3d99GEKfRzv2HWD3Uj3_7lgu_XLbrXJtu-vb6vnbYZFabKqKZVD04jCKKlBGOOkRVfKShmrCq0K1BaEtwoMeLTkZUXCl4AGoAGtFuzxb_ZCq4d0OpqO9ZlYX4jqF6DvTy0 |
| ContentType | Journal Article |
| Copyright | http://creativecommons.org/licenses/by/4.0 |
| Copyright_xml | – notice: http://creativecommons.org/licenses/by/4.0 |
| DBID | AKY AKZ GOX |
| DOI | 10.48550/arxiv.2402.12059 |
| DatabaseName | arXiv Computer Science arXiv Mathematics arXiv.org |
| DatabaseTitleList | |
| Database_xml | – sequence: 1 dbid: GOX name: arXiv.org url: http://arxiv.org/find sourceTypes: Open Access Repository |
| DeliveryMethod | fulltext_linktorsrc |
| ExternalDocumentID | 2402_12059 |
| GroupedDBID | AKY AKZ GOX |
| ID | FETCH-LOGICAL-a679-8f73ca9f1693250199c2bac72839b36536a5b01db3090dabed28e1d70a900f053 |
| IEDL.DBID | GOX |
| IngestDate | Wed Feb 21 12:13:23 EST 2024 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | false |
| IsScholarly | false |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-a679-8f73ca9f1693250199c2bac72839b36536a5b01db3090dabed28e1d70a900f053 |
| OpenAccessLink | https://arxiv.org/abs/2402.12059 |
| ParticipantIDs | arxiv_primary_2402_12059 |
| PublicationCentury | 2000 |
| PublicationDate | 2024-02-19 |
| PublicationDateYYYYMMDD | 2024-02-19 |
| PublicationDate_xml | – month: 02 year: 2024 text: 2024-02-19 day: 19 |
| PublicationDecade | 2020 |
| PublicationYear | 2024 |
| Score | 1.9109397 |
| SecondaryResourceType | preprint |
| Snippet | Motivated by a recent work on a preconditioned MINRES for flipped linear
systems in imaging, in this note we extend the scope of that research for
including... |
| SourceID | arxiv |
| SourceType | Open Access Repository |
| SubjectTerms | Computer Science - Numerical Analysis Mathematics - Numerical Analysis |
| Title | Flipped structured matrix-sequences in image deblurring with general boundary conditions |
| URI | https://arxiv.org/abs/2402.12059 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwdV09T8MwED21nVgQCFD5lAdWg-3EcTwiRKiQgKVI2So7dqpIbYgKVOXfc47Lx8Lmr-lZp_d8Pj8DXCZIESpnnla5UDTlzlEja0edwt3GLnJCSOg_PmWTl_ShlOUAyPdbGLPaNOvoD2zfrkPq_4oLlABDGAoRSrbun8t4OdlbcW3X_65DjdkP_SGJYg92t-qO3MTt2IeBbw-gLBZN13lHolfrxwqby-CMv6E_hcykaUmzxNgmzttFSMu1cxJypGQefaGJ7f8_Wn0SPMC6WGd1CNPibno7odsPDajJlKZ5rZLK6Dr4n6Dy4FpXwppKIcNrm2QyyYy0jDubMM2csd6J3HOnmNGM1RgtRzBqX1s_BiK0NMamSC4ySIAUO0ZVPK_x9OSkz49h3MMw66JnxSwgNOsROvl_6hR2BHJ2KErm-gxGiIo_R859txc98F9pSYJM |
| link.rule.ids | 228,230,783,888 |
| linkProvider | Cornell University |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Flipped+structured+matrix-sequences+in+image+deblurring+with+general+boundary+conditions&rft.au=Ferrari%2C+Paola&rft.au=Furci%2C+Isabella&rft.au=Serra-Capizzano%2C+Stefano&rft.date=2024-02-19&rft_id=info:doi/10.48550%2Farxiv.2402.12059&rft.externalDocID=2402_12059 |