Eigenvalue inclusion sets for linear response eigenvalue problems
In this article, some inclusion sets for eigenvalues of a matrix in the linear response eigenvalue problem (LREP) are established. It is proved that the inclusion sets are tighter than the Geršgorin-type sets. A numerical experiment shows the effectiveness of our new results.
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2022-08-01
|
| Series: | Demonstratio Mathematica |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/dema-2022-0029 |
| _version_ | 1828203682740568064 |
|---|---|
| author | He Jun Liu Yanmin Lv Wei |
| author_facet | He Jun Liu Yanmin Lv Wei |
| author_sort | He Jun |
| collection | DOAJ |
| description | In this article, some inclusion sets for eigenvalues of a matrix in the linear response eigenvalue problem (LREP) are established. It is proved that the inclusion sets are tighter than the Geršgorin-type sets. A numerical experiment shows the effectiveness of our new results. |
| first_indexed | 2024-04-12T12:10:46Z |
| format | Article |
| id | doaj.art-eac84b36e1bc4cd398a5eef0e141aba3 |
| institution | Directory Open Access Journal |
| issn | 2391-4661 |
| language | English |
| last_indexed | 2024-04-12T12:10:46Z |
| publishDate | 2022-08-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Demonstratio Mathematica |
| spelling | doaj.art-eac84b36e1bc4cd398a5eef0e141aba32022-12-22T03:33:36ZengDe GruyterDemonstratio Mathematica2391-46612022-08-0155138038610.1515/dema-2022-0029Eigenvalue inclusion sets for linear response eigenvalue problemsHe Jun0Liu Yanmin1Lv Wei2School of Mathematics, Zunyi Normal College, Zunyi, Guizhou 563006, P. R. ChinaSchool of Mathematics, Zunyi Normal College, Zunyi, Guizhou 563006, P. R. ChinaSchool of Management, Zunyi Normal College, Zunyi, Guizhou 563006, P. R. ChinaIn this article, some inclusion sets for eigenvalues of a matrix in the linear response eigenvalue problem (LREP) are established. It is proved that the inclusion sets are tighter than the Geršgorin-type sets. A numerical experiment shows the effectiveness of our new results.https://doi.org/10.1515/dema-2022-0029linear response eigenvalue problemgeršgorin-type setslocalization set15a1865f15 |
| spellingShingle | He Jun Liu Yanmin Lv Wei Eigenvalue inclusion sets for linear response eigenvalue problems Demonstratio Mathematica linear response eigenvalue problem geršgorin-type sets localization set 15a18 65f15 |
| title | Eigenvalue inclusion sets for linear response eigenvalue problems |
| title_full | Eigenvalue inclusion sets for linear response eigenvalue problems |
| title_fullStr | Eigenvalue inclusion sets for linear response eigenvalue problems |
| title_full_unstemmed | Eigenvalue inclusion sets for linear response eigenvalue problems |
| title_short | Eigenvalue inclusion sets for linear response eigenvalue problems |
| title_sort | eigenvalue inclusion sets for linear response eigenvalue problems |
| topic | linear response eigenvalue problem geršgorin-type sets localization set 15a18 65f15 |
| url | https://doi.org/10.1515/dema-2022-0029 |
| work_keys_str_mv | AT hejun eigenvalueinclusionsetsforlinearresponseeigenvalueproblems AT liuyanmin eigenvalueinclusionsetsforlinearresponseeigenvalueproblems AT lvwei eigenvalueinclusionsetsforlinearresponseeigenvalueproblems |