Two-step inexact Newton-like method for solving generalized inverse eigenvalue problems
In this paper, based on two-step Newton iterative procedure, we propose a two-step inexact Newton-like method for generalized inverse eigenvalue problems. Under some mild assumptions, our results show that the two-step inexact Newton-like method is super quadratically convergent. Numerical implement...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2025-05-01
|
| Series: | Results in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2590037425000433 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850193770594697216 |
|---|---|
| author | Liuqing Hua Wei Ma |
| author_facet | Liuqing Hua Wei Ma |
| author_sort | Liuqing Hua |
| collection | DOAJ |
| description | In this paper, based on two-step Newton iterative procedure, we propose a two-step inexact Newton-like method for generalized inverse eigenvalue problems. Under some mild assumptions, our results show that the two-step inexact Newton-like method is super quadratically convergent. Numerical implementations demonstrate the effectiveness of the new method. |
| format | Article |
| id | doaj-art-99bc6a4a2430435dabedfc2f95d623e7 |
| institution | OA Journals |
| issn | 2590-0374 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Applied Mathematics |
| spelling | doaj-art-99bc6a4a2430435dabedfc2f95d623e72025-08-20T02:14:10ZengElsevierResults in Applied Mathematics2590-03742025-05-012610057910.1016/j.rinam.2025.100579Two-step inexact Newton-like method for solving generalized inverse eigenvalue problemsLiuqing Hua0Wei Ma1School of Mathematics and Statistics, Nanyang Normal University, Nanyang, Henan 473061, People’s Republic of ChinaCorresponding author.; School of Mathematics and Statistics, Nanyang Normal University, Nanyang, Henan 473061, People’s Republic of ChinaIn this paper, based on two-step Newton iterative procedure, we propose a two-step inexact Newton-like method for generalized inverse eigenvalue problems. Under some mild assumptions, our results show that the two-step inexact Newton-like method is super quadratically convergent. Numerical implementations demonstrate the effectiveness of the new method.http://www.sciencedirect.com/science/article/pii/S2590037425000433Generalized inverse eigenvalue problemsTwo-stepInexact Newton-like methodSuper quadratically convergent |
| spellingShingle | Liuqing Hua Wei Ma Two-step inexact Newton-like method for solving generalized inverse eigenvalue problems Results in Applied Mathematics Generalized inverse eigenvalue problems Two-step Inexact Newton-like method Super quadratically convergent |
| title | Two-step inexact Newton-like method for solving generalized inverse eigenvalue problems |
| title_full | Two-step inexact Newton-like method for solving generalized inverse eigenvalue problems |
| title_fullStr | Two-step inexact Newton-like method for solving generalized inverse eigenvalue problems |
| title_full_unstemmed | Two-step inexact Newton-like method for solving generalized inverse eigenvalue problems |
| title_short | Two-step inexact Newton-like method for solving generalized inverse eigenvalue problems |
| title_sort | two step inexact newton like method for solving generalized inverse eigenvalue problems |
| topic | Generalized inverse eigenvalue problems Two-step Inexact Newton-like method Super quadratically convergent |
| url | http://www.sciencedirect.com/science/article/pii/S2590037425000433 |
| work_keys_str_mv | AT liuqinghua twostepinexactnewtonlikemethodforsolvinggeneralizedinverseeigenvalueproblems AT weima twostepinexactnewtonlikemethodforsolvinggeneralizedinverseeigenvalueproblems |