On uniqueness of fixed points of positive quadratic stochastic operators
We know from the theory of Markov chains that any positive square stochastic matrix has a unique fixed point in the simplex and its trajectory starting from any initial point of the simplex converges to that unique fixed point. However, in general, the similar result for a positive cubic stochastic...
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2015
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| Online Access: | http://irep.iium.edu.my/46251/ http://irep.iium.edu.my/46251/ http://irep.iium.edu.my/46251/4/ID46251.pdf |
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iium-462512018-05-21T05:35:23Z http://irep.iium.edu.my/46251/ On uniqueness of fixed points of positive quadratic stochastic operators Saburov, Mansoor QA Mathematics We know from the theory of Markov chains that any positive square stochastic matrix has a unique fixed point in the simplex and its trajectory starting from any initial point of the simplex converges to that unique fixed point. However, in general, the similar result for a positive cubic stochastic matrix does not hold true. We know that a cubic stochastic matrix is associated with a quadratic stochastic operator defined on the simplex. In this paper, we provide a uniqueness criterion for fixed points of positive quadratic stochastic operators defined on 2D simplex. 2015 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/46251/4/ID46251.pdf Saburov, Mansoor (2015) On uniqueness of fixed points of positive quadratic stochastic operators. In: The 2nd International Conference on Mathematical Sciences & Computer Engineering, 5-6 Feb 2015, Langkawi, Kedah Darul Aman, Malaysia. http://www.icmsce.net/2015/WB/www.icmsce.net/cms/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 On uniqueness of fixed points of positive quadratic stochastic operators |
| description |
We know from the theory of Markov chains that any positive square stochastic matrix has a unique fixed point in the simplex and its trajectory starting from any initial point of the simplex converges to that unique fixed point. However, in general, the similar result for a positive cubic stochastic matrix does not hold true. We know that a cubic stochastic matrix is associated with a quadratic stochastic operator defined on the simplex. In this paper, we provide a uniqueness criterion for fixed points of positive quadratic stochastic operators defined on 2D simplex. |
| format |
Conference or Workshop Item |
| author |
Saburov, Mansoor |
| author_facet |
Saburov, Mansoor |
| author_sort |
Saburov, Mansoor |
| title |
On uniqueness of fixed points of positive quadratic stochastic operators |
| title_short |
On uniqueness of fixed points of positive quadratic stochastic operators |
| title_full |
On uniqueness of fixed points of positive quadratic stochastic operators |
| title_fullStr |
On uniqueness of fixed points of positive quadratic stochastic operators |
| title_full_unstemmed |
On uniqueness of fixed points of positive quadratic stochastic operators |
| title_sort |
on uniqueness of fixed points of positive quadratic stochastic operators |
| publishDate |
2015 |
| url |
http://irep.iium.edu.my/46251/ http://irep.iium.edu.my/46251/ http://irep.iium.edu.my/46251/4/ID46251.pdf |
| first_indexed |
2023-09-18T21:05:50Z |
| last_indexed |
2023-09-18T21:05:50Z |
| _version_ |
1777410927181692928 |