Concavity of certain matrix trace functions

被引：0

作者：

Hiai, F ^{[1
]}

机构：

[1] Tohoku Univ, Grad Sch Informat Sci, Aoba Ku, Sendai, Miyagi 9808577, Japan

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2001年 / 5卷 / 03期

关键词：

matrices; trace; joint concavity; Pick function; tensor product; Hadamard product; operator mean;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We demonstrate how Epstein's method using theory of Pick functions improves the existing results and also proves new ones on the joint concavity of trace functions of the form Tr (F(A(1),..., A(k))), where F(A(1),..., A(k)) is a matrix-valued function of positive semidefinite matrices A(1),..., A(k).

引用

页码：535 / 554

页数：20

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