We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
R-Majorizing Quadratic Stochastic Operators: Examples on 2D Simplex.
- Authors
Saburov, M.; Yusof, N. A.
- Abstract
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.
- Subjects
STOCHASTIC approximation; QUADRATIC equations; MATHEMATICAL mappings
- Publication
Malaysian Journal of Mathematical Sciences, 2016, Vol 10, p37
- ISSN
1823-8343
- Publication type
Article