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: | Conference or Workshop Item |
| Language: | English |
| Published: |
2014
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/39874/ http://irep.iium.edu.my/39874/ http://irep.iium.edu.my/39874/1/Majorization--IREP.pdf |
| Summary: | 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. |
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