Geometric means and Hadamard products

被引：0
|
作者：
Feng, BQ
Tonge, A
机构：
[1] Kent State Univ, Dept Math Sci, New Philadelphia, OH 44663 USA
[2] Kent State Univ, Dept Math Sci, Kent, OH 44240 USA
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2005年 / 8卷 / 04期
关键词：
arithmetic mean; geometric mean; alpha-power mean; Hadamard product; tensor product;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Ando [1] proved that for m commuting positive definite matrices, the m-fold Hadamard product of their geometric mean is bounded above by their Hadamard product. We obtain a natural extension to the non-commutative case.
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页码：559 / 564
页数：6
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