Open mathematics (Warsaw, Poland), 2022-09, Vol.20 (1), p.998-1012
2022
Details
- Autor(en) / Beteiligte
- Titel
- Convergence rate of the modified Levenberg-Marquardt method under Hölderian local error bound
- Ist Teil von
- Open mathematics (Warsaw, Poland), 2022-09, Vol.20 (1), p.998-1012
- Ort / Verlag
- Warsaw: De Gruyter
- Erscheinungsjahr
- 2022
- Link zum Volltext
- Quelle
- Free E-Journal (出版社公開部分のみ）
- Beschreibungen/Notizen
- In this article, we analyze the convergence rate of the modified Levenberg-Marquardt (MLM) method under the Hölderian local error bound condition and the Hölderian continuity of the Jacobian, which are more general than the local error bound condition and the Lipschitz continuity of the Jacobian. Under special circumstances, the convergence rate of the MLM method coincides with the results presented by Fan. A globally convergent MLM algorithm by the trust region technique will also be given.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 2391-5455eISSN: 2391-5455DOI: 10.1515/math-2022-0485Titel-ID: cdi_doaj_primary_oai_doaj_org_article_2a745e4b469746beae2385c0b84bd2b7
- Format
- –
- Schlagworte
- 65K05, 90C30, Algorithms, Continuity, Convergence, convergence rate, Error analysis, Hölderian local error bound, Levenberg-Marquardt method, nonlinear equation