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

โœ Scribed by Masatoshi Ito; Yuki Seo; Takeaki Yamazaki; Masahiro Yanagida


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
219 KB
Volume
435
Category
Article
ISSN
0024-3795

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Geometrical properties of the Frobenius
โœ Jean-Paul Chehab; Marcos Raydan ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 132 KB

We study the geometrical properties of the Frobenius condition number on the cone of symmetric and positive definite matrices. This number, related to the cosine of the angle between a given matrix and its inverse, is equivalent to the classical 2-norm condition number, but has a direct and natural