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Geometric properties of positive definite matrices cone with respect to the Thompson metric
Authors:Masatoshi Ito  Yuki Seo
Institution:a Department of Integrated Design Engineering, Maebashi Institute of Technology, Maebashi 371-0816, Japan
b Faculty of Engineering, Shibaura Institute of Technology, Saitama 337-8570, Japan
c Department of Electrical, Electronic and Computer Engineering, Tpyo University, Kawagoe, 350-858, Japan
d Department of Mathematical Information Science, Faculty of Science, Tokyo University of Science, Tokyo 162-8601, Japan
Abstract:We shall discuss geometric properties of a quadrangle with parallelogramic properties in a convex cone of positive definite matrices with respect to Thompson metric.
Keywords:Primary: 15A45  47A64  Secondary: 15B48  47A30
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