R−Majorizing quadratic stochastic operators: Examples on 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 preorder of distance from a uniform vector. A preorder of distance from any fixed non-uniform vector of positive components, so-called r−majoriza...
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Institute Mathematical Sciences, Universiti Putra Malaysia
2016
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| Online Access: | http://irep.iium.edu.my/51133/ http://irep.iium.edu.my/51133/ http://irep.iium.edu.my/51133/1/R-majorizing_QSO_---_MJMS.pdf http://irep.iium.edu.my/51133/4/51133_Majorizing%20quadratic%20stochastic_SCOPUS.pdf |
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iium-511332017-04-17T06:23:38Z http://irep.iium.edu.my/51133/ R−Majorizing quadratic stochastic operators: Examples on 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 preorder of distance from a uniform vector. A preorder of distance from any fixed non-uniform vector of positive components, so-called r−majorization, is a generalization of usual vector majorization. In this paper, a new class of mappings so-called r−majorizing quadratic stochastic operators was introduced. The r−majorizing quadratic stochastic operator is a generalization of a quadratic doubly stochastic operator. Some relevant examples are provided. Moreover, the dynamics of some non-scrambling r−majorizing quadratic stochastic operators are studied. Institute Mathematical Sciences, Universiti Putra Malaysia 2016-02 Article PeerReviewed application/pdf en http://irep.iium.edu.my/51133/1/R-majorizing_QSO_---_MJMS.pdf application/pdf en http://irep.iium.edu.my/51133/4/51133_Majorizing%20quadratic%20stochastic_SCOPUS.pdf Saburov, Mansoor and Yusof, Nur Atikah (2016) R−Majorizing quadratic stochastic operators: Examples on 2D simplex. Malaysian Journal of Mathematical Sciences, 10(S). pp. 37-47. ISSN 1823-8343 E-ISSN 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol10sfeb/No4.pdf |
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Digital Repository |
| institution_category |
Local University |
| institution |
International Islamic University Malaysia |
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IIUM Repository |
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Online Access |
| language |
English English |
| topic |
QA Mathematics |
| spellingShingle |
QA Mathematics Saburov, Mansoor Yusof, Nur Atikah R−Majorizing quadratic stochastic operators: Examples on 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 preorder of distance from a uniform vector. A preorder of distance
from any fixed non-uniform vector of positive components, so-called r−majorization, is a generalization of usual vector majorization. In this paper, a new class of mappings so-called r−majorizing quadratic stochastic
operators was introduced. The r−majorizing quadratic stochastic operator is a generalization of a quadratic doubly stochastic operator. Some relevant examples are provided. Moreover, the dynamics of some non-scrambling r−majorizing quadratic stochastic operators are studied. |
| format |
Article |
| author |
Saburov, Mansoor Yusof, Nur Atikah |
| author_facet |
Saburov, Mansoor Yusof, Nur Atikah |
| author_sort |
Saburov, Mansoor |
| title |
R−Majorizing quadratic stochastic operators:
Examples on 2D simplex |
| title_short |
R−Majorizing quadratic stochastic operators:
Examples on 2D simplex |
| title_full |
R−Majorizing quadratic stochastic operators:
Examples on 2D simplex |
| title_fullStr |
R−Majorizing quadratic stochastic operators:
Examples on 2D simplex |
| title_full_unstemmed |
R−Majorizing quadratic stochastic operators:
Examples on 2D simplex |
| title_sort |
r−majorizing quadratic stochastic operators:
examples on 2d simplex |
| publisher |
Institute Mathematical Sciences, Universiti Putra Malaysia |
| publishDate |
2016 |
| url |
http://irep.iium.edu.my/51133/ http://irep.iium.edu.my/51133/ http://irep.iium.edu.my/51133/1/R-majorizing_QSO_---_MJMS.pdf http://irep.iium.edu.my/51133/4/51133_Majorizing%20quadratic%20stochastic_SCOPUS.pdf |
| first_indexed |
2023-09-18T21:12:21Z |
| last_indexed |
2023-09-18T21:12:21Z |
| _version_ |
1777411337192734720 |