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Results tagged with order-theory
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user 80819
1
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0
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39
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Orderings derived from function sets (Marshall and Olkin book): looking for literature
I am looking into the book "Inequalities: Theory of Majorization and Its Applications, second ed. " of Marshall and Olkin.
In chapter 14 (Ordering Extending Majorization, section E) the definition of …
- 329
0
votes
0
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36
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Majorization for vector valued function: looking for literature
Let $x,y\in R^{d}$. A function $f:R^{d}\to R$ is called Schur convex if
$$
x\prec y\;\;\rightarrow\;\;f(x)\leq f(y).
$$
I am interested in functions $g:R^{d}\to R^{d}$ such that
$$
x\prec y\;\;\rig …
- 329
1
vote
0
answers
43
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Linear maps that increase majorization order
Let $x$ a vector in $d$ dimensions with positive entries summing to one (a probability distribution). Is there a characterization of the linear operators $T:R^{d}_{+}\to R^{d}_{+}$ such that:
$$
x\pre …
- 329