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...
| Main Authors: | , |
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| Format: | Proceeding Paper |
| Language: | English |
| Published: |
2014
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/39874/ http://irep.iium.edu.my/39874/1/Majorization--IREP.pdf |
| _version_ | 1848781859101605888 |
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| author | Saburov, Mansoor Yusof, Nur Atikah |
| author_facet | Saburov, Mansoor Yusof, Nur Atikah |
| author_sort | Saburov, Mansoor |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T15:56:15Z |
| format | Proceeding Paper |
| id | iium-39874 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:56:15Z |
| publishDate | 2014 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | 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 Proceeding Paper 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/ |
| spellingShingle | QA Mathematics Saburov, Mansoor Yusof, Nur Atikah R-majorizing operators: 2D simplex |
| title | 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_short | R-majorizing operators: 2D simplex |
| title_sort | r-majorizing operators: 2d simplex |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/39874/ http://irep.iium.edu.my/39874/ http://irep.iium.edu.my/39874/1/Majorization--IREP.pdf |