Information Geometry of Positive Definite Matrices

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...

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Veröffentlicht in:Journal of Beijing Institute of Technology 2009-12, Vol.18 (4), p.484-487
1. Verfasser: 张士诚 孙华飞 李春辉
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Sprache:eng
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Zusammenfassung: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.
ISSN:1004-0579