On the Arithmetic - Geometric Mean Inequalityand Its Relationship to Linear Programming , Matrix Scaling , and Gordan ' S

Abstract

It is a classical inequality that the minimum of the ratio of the (weighted) arithmetic mean to the geometric mean of a set of positive variables is equal to one, and is attained at the center of the positivity cone. While there are numerous proofs of this fundamental homogeneous inequality, in the presence of an arbitrary subspace, and/or the replacement… (More)

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Cite this paper

@inproceedings{Kalantari1998OnTA, title={On the Arithmetic - Geometric Mean Inequalityand Its Relationship to Linear Programming , Matrix Scaling , and Gordan ' S}, author={Bahman Kalantari}, year={1998} }