R-majorizing operators: 2D simplex
A vector majorization is a preorder of dispersion for vectors with the same length and same sum of components. The vector majorization can be viewed as a pre-order of distance from a uniform vector. A pre-order of distance from any fixed vector of positive components, so-called r-majorization, is...
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2014
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| Online Access: | http://irep.iium.edu.my/39874/ http://irep.iium.edu.my/39874/ http://irep.iium.edu.my/39874/1/Majorization--IREP.pdf |
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iium-398742018-06-18T15:22:05Z http://irep.iium.edu.my/39874/ R-majorizing operators: 2D simplex Saburov, Mansoor Yusof, Nur Atikah QA Mathematics A vector majorization is a preorder of dispersion for vectors with the same length and same sum of components. The vector majorization can be viewed as a pre-order of distance from a uniform vector. A pre-order of distance from any fixed vector of positive components, so-called r-majorization, is a generalization of usual vector majorization. In this paper, we introduce a new class of quadratic stochastic operators. These are called quadratic stochastic r-majorizing operators. The r-majorizing quadratic stochastic operator is a generalization of a quadratic doubly stochastic operator. We study ergodicity and regularity of quadratic stochastic r-majorizing operators. 2014-09-23 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/39874/1/Majorization--IREP.pdf Saburov, Mansoor and Yusof, Nur Atikah (2014) R-majorizing operators: 2D simplex. In: 3rd International Conference on Mathematical Applications in Engineering (ICMAE'14), 23-25 Sep 2014, Kuala Lumpur. (Unpublished) http://www.iium.edu.my/icmae/14/ |
| 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 R-majorizing operators: 2D simplex |
| description |
A vector majorization is a preorder of dispersion for vectors with the same length and same sum
of components. The vector majorization can be viewed as a pre-order of distance from a uniform vector. A pre-order of distance from any fixed vector of positive components,
so-called r-majorization, is a generalization of usual vector majorization. In this paper, we introduce a
new class of quadratic stochastic operators. These are called quadratic stochastic r-majorizing operators.
The r-majorizing quadratic stochastic operator is a generalization of a quadratic doubly stochastic operator.
We study ergodicity and regularity of quadratic stochastic r-majorizing operators. |
| format |
Conference or Workshop Item |
| author |
Saburov, Mansoor Yusof, Nur Atikah |
| author_facet |
Saburov, Mansoor Yusof, Nur Atikah |
| author_sort |
Saburov, Mansoor |
| title |
R-majorizing operators: 2D simplex |
| title_short |
R-majorizing operators: 2D simplex |
| title_full |
R-majorizing operators: 2D simplex |
| title_fullStr |
R-majorizing operators: 2D simplex |
| title_full_unstemmed |
R-majorizing operators: 2D simplex |
| title_sort |
r-majorizing operators: 2d simplex |
| publishDate |
2014 |
| url |
http://irep.iium.edu.my/39874/ http://irep.iium.edu.my/39874/ http://irep.iium.edu.my/39874/1/Majorization--IREP.pdf |
| first_indexed |
2023-09-18T20:57:14Z |
| last_indexed |
2023-09-18T20:57:14Z |
| _version_ |
1777410386120671232 |