The inverse problem of geometric and golden means of positive definite matrices

被引：0
|
作者：
Lee, Hosoo [1 ]
Lim, Yongdo [1 ]
机构：
[1] Kyungpook Natl Univ, Dept Math, Taegu 702701, South Korea
来源：
ARCHIV DER MATHEMATIK | 2007年 / 88卷 / 01期
关键词：
positive definite matrix; geometric means; golden mean; inverse problem; nonlinear matrix equation;
D O I：
10.1007/s00013-006-1934-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we prove that the inverse mean problem of geometric and golden means of positive definite matrices {A = X # Y {B = (1)/(2)(X + X#(4Y - 3X)) is solvable (resp. uniquely solvable) if and only if A <= root 3B <= 2A (resp. A <= root 3B <= root 3A).
引用
收藏
页码：90 / 96
页数：7
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