Borderline Behavior for 2 x 2 Iterative Systems
The study of $2 \times 2$ linear iterative systems leads naturally to an analysis of the eigenvalues and eigenvectors of the corresponding system matrix. The phase portraits for such systems have been previously examined and outlined; however the outline lacks the analysis of the many borderline cas...
محفوظ في:
| المؤلف الرئيسي: | |
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| مؤلفون آخرون: | |
| التنسيق: | article |
| منشور في: |
2008
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| الوصول للمادة أونلاين: | http://hdl.handle.net/10725/2134 https://www.ijpam.eu/contents/2008-42-4/20/index.html |
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| _version_ | 1864513457418665984 |
|---|---|
| author | Habre, Samer S. |
| author2 | McDill, Jean-Marie |
| author2_role | author |
| author_facet | Habre, Samer S. McDill, Jean-Marie |
| author_role | author |
| dc.creator.none.fl_str_mv | Habre, Samer S. McDill, Jean-Marie |
| dc.date.none.fl_str_mv | 2008 2008 2015-09-14T06:38:52Z 2015-09-14T06:38:52Z |
| dc.identifier.none.fl_str_mv | 1311-8080 http://hdl.handle.net/10725/2134 Habre, S. S., McDill, J. M. (2008). Borderline behavior for 2 x 2 iterative systems. International Journal of Pure and Applied Mathematics, 42(4), 591-597. https://www.ijpam.eu/contents/2008-42-4/20/index.html |
| dc.relation.none.fl_str_mv | International Journal of Pure and Applied Mathematics |
| dc.rights.*.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.title.none.fl_str_mv | Borderline Behavior for 2 x 2 Iterative Systems |
| dc.type.none.fl_str_mv | Article info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | The study of $2 \times 2$ linear iterative systems leads naturally to an analysis of the eigenvalues and eigenvectors of the corresponding system matrix. The phase portraits for such systems have been previously examined and outlined; however the outline lacks the analysis of the many borderline cases in the trace-determinant plane. In this paper we fill in some of these details and look at the general solutions for the most interesting cases in terms of eigenvectors. In particular, we find generalized eigenvectors when required. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | LAURepo_1a84cb8d401cfabc210ea15dd80c2868 |
| identifier_str_mv | 1311-8080 Habre, S. S., McDill, J. M. (2008). Borderline behavior for 2 x 2 iterative systems. International Journal of Pure and Applied Mathematics, 42(4), 591-597. |
| network_acronym_str | LAURepo |
| network_name_str | Lebanese American University repository |
| oai_identifier_str | oai:laur.lau.edu.lb:10725/2134 |
| publishDate | 2008 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | Borderline Behavior for 2 x 2 Iterative SystemsHabre, Samer S.McDill, Jean-MarieThe study of $2 \times 2$ linear iterative systems leads naturally to an analysis of the eigenvalues and eigenvectors of the corresponding system matrix. The phase portraits for such systems have been previously examined and outlined; however the outline lacks the analysis of the many borderline cases in the trace-determinant plane. In this paper we fill in some of these details and look at the general solutions for the most interesting cases in terms of eigenvectors. In particular, we find generalized eigenvectors when required.PublishedN/A2015-09-14T06:38:52Z2015-09-14T06:38:52Z20082008Articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1311-8080http://hdl.handle.net/10725/2134Habre, S. S., McDill, J. M. (2008). Borderline behavior for 2 x 2 iterative systems. International Journal of Pure and Applied Mathematics, 42(4), 591-597.https://www.ijpam.eu/contents/2008-42-4/20/index.htmlInternational Journal of Pure and Applied Mathematicsinfo:eu-repo/semantics/openAccessoai:laur.lau.edu.lb:10725/21342025-10-09T13:00:36Z |
| spellingShingle | Borderline Behavior for 2 x 2 Iterative Systems Habre, Samer S. |
| status_str | publishedVersion |
| title | Borderline Behavior for 2 x 2 Iterative Systems |
| title_full | Borderline Behavior for 2 x 2 Iterative Systems |
| title_fullStr | Borderline Behavior for 2 x 2 Iterative Systems |
| title_full_unstemmed | Borderline Behavior for 2 x 2 Iterative Systems |
| title_short | Borderline Behavior for 2 x 2 Iterative Systems |
| title_sort | Borderline Behavior for 2 x 2 Iterative Systems |
| url | http://hdl.handle.net/10725/2134 https://www.ijpam.eu/contents/2008-42-4/20/index.html |