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Schur-convex function

Known as: Schur-concave, Schur-concave function, Schur-convex 
In mathematics, a Schur-convex function, also known as S-convex, isotonic function and order-preserving function is a function that for all such that… Expand
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Papers overview

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Highly Cited
2014
Highly Cited
2014
The concept of deploying a large number of antennas at the base station, often called massive multiple-input multiple-output… Expand
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Highly Cited
2012
Highly Cited
2012
Saddle point systems arise widely in optimization problems with constraints. The utility of Schur complement approximation is now… Expand
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Highly Cited
2006
Highly Cited
2006
In this work we investigate semigroups of operators acting on noncommutative L-spaces. We introduce noncommutative square… Expand
2006
2006
This paper investigates Schur-convexity of the complete symmetric function cr(x) = ∑ i1+...+in=r x i1 1 ...x in n and the… Expand
Highly Cited
2003
Highly Cited
2003
This paper addresses the joint design of transmit and receive beamforming or linear processing (commonly termed linear precoding… Expand
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Highly Cited
2001
Highly Cited
2001
An ensemble Kalman filter may be considered for the 4D assimilation of atmospheric data. In this paper, an efficient… Expand
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2000
2000
In this note it is proved that the integral arithmetic mean of a convex function is a Schur-convex function. Applications to… Expand
1998
1998
In this paper, we show that Schur-convex functions share some important properties with the ordinary convex functions. We apply… Expand
1983
1983
Majorization on the spectra of graphs is shown to be preserved under several operations, including addition, multiplication and… Expand
Highly Cited
1980
Highly Cited
1980
Although they play a fundamental role in nearly all branches of mathematics, inequalities are usually obtained by ad hoc methods… Expand