Geometric properties of positive definite matrices cone with respect to the Thompson metric

被引：2

作者：

Ito, Masatoshi ^{[1
]}

Seo, Yuki ^{[2
]}

Yamazaki, Takeaki ^{[3
]}

Yanagida, Masahiro ^{[4
]}

机构：

[1] Maebashi Inst Technol, Dept Integrated Design Engn, Maebashi, Gunma 3710816, Japan

[2] Shibaura Inst Technol, Fac Engn, Saitama 3378570, Japan

[3] Toyo Univ, Dept Elect Elect & Comp Engn, Kawagoe, Saitama 3508585, Japan

[4] Tokyo Univ Sci, Fac Sci, Dept Math Informat Sci, Tokyo 1628601, Japan

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2011年 / 435卷 / 08期

关键词：

Positive definite matrix; Thompson metric; Geometric mean; CONVEXITY;

D O I：

10.1016/j.laa.2011.03.063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We shall discuss geometric properties of a quadrangle with parallelogramic properties in a convex cone of positive definite matrices with respect to Thompson metric. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：2054 / 2064

页数：11

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