On quadratic stochastic operators having three fixed points

On 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...

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Main Authors: Saburov, Mansoor, Yusof, Nur Atikah
Format: Article
Language:English
English
Published: Institute of Physics Publishing (UK) 2016
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/51149/
http://irep.iium.edu.my/51149/
http://irep.iium.edu.my/51149/
http://irep.iium.edu.my/51149/3/51149.pdf
http://irep.iium.edu.my/51149/4/51149_On_Quadratic_Stochastic_Operators_Having_Three_Fixed_Points_SCOPUS.pdf
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recordtype eprints
spelling iium-511492017-01-09T08:11:15Z http://irep.iium.edu.my/51149/ On 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 points depending on initial points. Institute of Physics Publishing (UK) 2016-03 Article PeerReviewed application/pdf en http://irep.iium.edu.my/51149/3/51149.pdf application/pdf en http://irep.iium.edu.my/51149/4/51149_On_Quadratic_Stochastic_Operators_Having_Three_Fixed_Points_SCOPUS.pdf Saburov, Mansoor and Yusof, Nur Atikah (2016) On quadratic stochastic operators having three fixed points. Journal of Physics: Conference Series, 697 (1). ISSN 1742-6588 E-ISSN 1742-6596 http://iopscience.iop.org/article/10.1088/1742-6596/697/1/012012/pdf 10.1088/1742-6596/697/1/012012
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
English
topic QA Mathematics
spellingShingle QA Mathematics
Saburov, Mansoor
Yusof, Nur Atikah
On 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 points depending on initial points.
format Article
author Saburov, Mansoor
Yusof, Nur Atikah
author_facet Saburov, Mansoor
Yusof, Nur Atikah
author_sort Saburov, Mansoor
title On quadratic stochastic operators having three fixed points
title_short On quadratic stochastic operators having three fixed points
title_full On quadratic stochastic operators having three fixed points
title_fullStr On quadratic stochastic operators having three fixed points
title_full_unstemmed On quadratic stochastic operators having three fixed points
title_sort on quadratic stochastic operators having three fixed points
publisher Institute of Physics Publishing (UK)
publishDate 2016
url http://irep.iium.edu.my/51149/
http://irep.iium.edu.my/51149/
http://irep.iium.edu.my/51149/
http://irep.iium.edu.my/51149/3/51149.pdf
http://irep.iium.edu.my/51149/4/51149_On_Quadratic_Stochastic_Operators_Having_Three_Fixed_Points_SCOPUS.pdf
first_indexed 2023-09-18T21:12:23Z
last_indexed 2023-09-18T21:12:23Z
_version_ 1777411338967973888

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