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Geometric properties of positive definite matrices cone with respect to the Thompson metric |
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| Authors: | Masatoshi Ito Yuki Seo |
| Affiliation: | 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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