Information Geometry of Positive Definite Matrices  

作　　者：张士诚 孙华飞 李春辉 

机构地区：[1]School of Science, Beijing Institute of Technology [2]School of Mathematics, Xuzhou Normal University, Xuzhou

出　　处：《Journal of Beijing Institute of Technology》2009年第4期484-487,共4页北京理工大学学报（英文版）

基　　金：Sponsored by the National Natural Science Foundation of China (10871218)

摘　　要：A new Riemannian metric for positive definite matrices is defined and its geometric structures are investigated by means of dual connections introduced to statistical analysis by S. Amari. A few interesting results are obtained and some of those obtained by other authors are extended in our research.A new Riemannian metric for positive definite matrices is defined and its geometric structures are investigated by means of dual connections introduced to statistical analysis by S. Amari. A few interesting results are obtained and some of those obtained by other authors are extended in our research.

关 键 词：Riemannian manifold dual connection information geometry 

分 类 号：O151.21[理学—数学] TP273.2[理学—基础数学]