Questions tagged [majorization]

Questions related to majorization include questions on the majorization inequality (Karamata's Inequality), Muirhead's inequality, Schur-convex functions and etc.; As well as the questions on its generalizations or weaker concepts such as dominance order.

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Majorization with respect to a function

Let $f:\mathbb{R}^n_+ \rightarrow \mathbb{R}$ and $F:\mathbb{R}^n_+ \rightarrow \mathbb{R}$ be both increasing, differentiable, homogeneous of degree one and Schur-concave. For all $X\in \mathbb{R}_+^{n\times n}$ define…
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