Publication | Closed Access
Inequalities: Theory of Majorization and its Applications.
5K
Citations
0
References
1981
Year
Social InequalityEngineeringMatrix FactorizationMajorization.- PreservationLower BoundStochastic AnalysisProbability TheoryMatrix TheoryMatrix FunctionsMatrix AnalysisEconomic InequalityVariational InequalityStatisticsEquity MetricVariational InequalitiesMajorization.- Rearrangements
Introduction.- Doubly Stochastic Matrices.- Schur-Convex Functions.- Equivalent Conditions for Majorization.- Preservation and Generation of Majorization.- Rearrangements and Majorization.- Combinatorial Analysis.- Geometric Inequalities.- Matrix Theory.- Numerical Analysis.- Stochastic Majorizations.- Probabilistic, Statistical, and Other Applications.- Additional Statistical Applications.- Orderings Extending Majorization.- Multivariate Majorization.- Convex Functions and Some Classical Inequalities.- Stochastic Ordering.- Total Positivity.- Matrix Factorizations, Compounds, Direct Products, and M-Matrices.- Extremal Representations of Matrix Functions.