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Schur-Ostrowski type theorems revisited |
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| Authors: | Marek Niezgoda |
| Affiliation: | Department of Applied Mathematics and Computer Science, University of Life Sciences in Lublin, Akademicka 13, 20-950 Lublin, Poland |
| Abstract: | In this paper we extend Schur-Ostrowski theorem on Schur-convex functions from majorized vectors to separable ones. For this, we introduce a generalized Schur-Ostrowski?s condition. We apply the obtained result for cone orderings and group-induced cone orderings. Finally, we give some interpretations for absolutely weak majorization and for group majorization on the space of complex matrices. |
| Keywords: | Majorization Weak majorization Schur-convex function Schur-Ostrowski?s condition Group majorization G-increasing function Separable vector Convex cone Dual cone Cone preordering Group-induced cone ordering Singular values |
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