Quadratic stochastic operators having three fixed points
We knew that a trajectory of a linear stochastic operator associated with a positive square stochastic matrix starting from any initial point from the simplex converges to a unique fixed point. However, in general, the similar result for a quadratic stochastic operator associated with a positive cub...
| Main Authors: | , |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2015
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/46253/ http://irep.iium.edu.my/46253/ http://irep.iium.edu.my/46253/4/ID46253.pdf |
| id |
iium-46253 |
|---|---|
| recordtype |
eprints |
| spelling |
iium-462532018-05-21T05:48:55Z http://irep.iium.edu.my/46253/ Quadratic stochastic operators having three fixed points Saburov, Mansoor Yusof, Nur Atikah QA Mathematics We knew that a trajectory of a linear stochastic operator associated with a positive square stochastic matrix starting from any initial point from the simplex converges to a unique fixed point. However, in general, the similar result for a quadratic stochastic operator associated with a positive cubic stochastic matrix does not hold true. In this paper, we provide an example for the quadratic stochastic operator with positive coefficients in which its trajectory may converge to different fixed point depending on an initial point. 2015 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/46253/4/ID46253.pdf Saburov, Mansoor and Yusof, Nur Atikah (2015) Quadratic stochastic operators having three fixed points. In: International Conference "Algebra, Analysis and Quantum Probability", 10-12 Sep 2015, Tashkent, Uzbekistan. http://conf2015.azurewebsites.net/eng/index.html |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
International Islamic University Malaysia |
| building |
IIUM Repository |
| collection |
Online Access |
| language |
English |
| topic |
QA Mathematics |
| spellingShingle |
QA Mathematics Saburov, Mansoor Yusof, Nur Atikah Quadratic stochastic operators having three fixed points |
| description |
We knew that a trajectory of a linear stochastic operator associated with a positive square stochastic matrix starting from any initial point from the simplex converges to a unique fixed point. However, in general, the similar result for a quadratic stochastic operator associated with a positive cubic stochastic matrix does not hold true. In this paper, we provide an example for the quadratic stochastic operator with positive coefficients in which its trajectory may converge to different fixed point depending on an initial point. |
| format |
Conference or Workshop Item |
| author |
Saburov, Mansoor Yusof, Nur Atikah |
| author_facet |
Saburov, Mansoor Yusof, Nur Atikah |
| author_sort |
Saburov, Mansoor |
| title |
Quadratic stochastic operators having three fixed points |
| title_short |
Quadratic stochastic operators having three fixed points |
| title_full |
Quadratic stochastic operators having three fixed points |
| title_fullStr |
Quadratic stochastic operators having three fixed points |
| title_full_unstemmed |
Quadratic stochastic operators having three fixed points |
| title_sort |
quadratic stochastic operators having three fixed points |
| publishDate |
2015 |
| url |
http://irep.iium.edu.my/46253/ http://irep.iium.edu.my/46253/ http://irep.iium.edu.my/46253/4/ID46253.pdf |
| first_indexed |
2023-09-18T21:05:51Z |
| last_indexed |
2023-09-18T21:05:51Z |
| _version_ |
1777410927472148480 |