Cone orderings, group majorizations and similarly separable vectors (Q649558)
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scientific article; zbMATH DE number 5985513
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cone orderings, group majorizations and similarly separable vectors |
scientific article; zbMATH DE number 5985513 |
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Cone orderings, group majorizations and similarly separable vectors (English)
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2 December 2011
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The author generalizes certain results on majorization due to [\textit{S. Wu} and \textit{L. Debnath}, Comput. Math. Appl. 54, No. 4, 525--534 (2007; Zbl 1144.26016)] and [\textit{A. W. Marshall}, \textit{I. Olkin} and \textit{F. Proschan}, in: O. Shisha (ed.), Inequalities. New York-London: Academic Press (1967; Zbl 0178.00102), pp. 177--190]. Sufficient conditions for some vector inequalities to hold in the case of cone orderings and group-induced cone orderings are presented. The framework used is based on results for similarly separable vectors given by the author [Discrete Math. 306, No. 2, 231--243 (2006; Zbl 1091.26019)].
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majorization
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\(G\)-majorization
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cone ordering
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group-induced cone ordering
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similarly separable vectors
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weak absolute majorization
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