On monotonic estimates of the norm of the minimizers of regularized quadratic functions in Krylov spaces
We show that the minimizers of regularized quadratic functions restricted to their natural Krylov spaces increase in Euclidean norm as the spaces expand.
| Hlavní autoři: | , , |
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| Médium: | Journal article |
| Jazyk: | English |
| Vydáno: |
Springer Nature
2019
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| _version_ | 1826269053336944640 |
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| author | Cartis, C Gould, NIM Lange, M |
| author_facet | Cartis, C Gould, NIM Lange, M |
| author_sort | Cartis, C |
| collection | OXFORD |
| description | We show that the minimizers of regularized quadratic functions restricted to their natural Krylov spaces increase in Euclidean norm as the spaces expand. |
| first_indexed | 2024-03-06T21:19:02Z |
| format | Journal article |
| id | oxford-uuid:40cf02df-a3e8-49fe-85ff-92f4a73e732d |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T21:19:02Z |
| publishDate | 2019 |
| publisher | Springer Nature |
| record_format | dspace |
| spelling | oxford-uuid:40cf02df-a3e8-49fe-85ff-92f4a73e732d2022-03-26T14:39:58ZOn monotonic estimates of the norm of the minimizers of regularized quadratic functions in Krylov spacesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:40cf02df-a3e8-49fe-85ff-92f4a73e732dEnglishSymplectic Elements at OxfordSpringer Nature2019Cartis, CGould, NIMLange, MWe show that the minimizers of regularized quadratic functions restricted to their natural Krylov spaces increase in Euclidean norm as the spaces expand. |
| spellingShingle | Cartis, C Gould, NIM Lange, M On monotonic estimates of the norm of the minimizers of regularized quadratic functions in Krylov spaces |
| title | On monotonic estimates of the norm of the minimizers of regularized quadratic functions in Krylov spaces |
| title_full | On monotonic estimates of the norm of the minimizers of regularized quadratic functions in Krylov spaces |
| title_fullStr | On monotonic estimates of the norm of the minimizers of regularized quadratic functions in Krylov spaces |
| title_full_unstemmed | On monotonic estimates of the norm of the minimizers of regularized quadratic functions in Krylov spaces |
| title_short | On monotonic estimates of the norm of the minimizers of regularized quadratic functions in Krylov spaces |
| title_sort | on monotonic estimates of the norm of the minimizers of regularized quadratic functions in krylov spaces |
| work_keys_str_mv | AT cartisc onmonotonicestimatesofthenormoftheminimizersofregularizedquadraticfunctionsinkrylovspaces AT gouldnim onmonotonicestimatesofthenormoftheminimizersofregularizedquadraticfunctionsinkrylovspaces AT langem onmonotonicestimatesofthenormoftheminimizersofregularizedquadraticfunctionsinkrylovspaces |