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• W65713466 abstract "In a development of ecient primal-dual interior-points algorithms for self- scaled convex programming problems, one of the important properties of such cones is the existence and uniqueness of points. In this paper through the identification of scaling points with the notion of (metric) geometric on symmetric cones, we extend several well-known matrix inequalities (the classical Lowner-Heinz inequality, Ando inequality, Jensen inequality, Furuta inequality) to symmetric cones. We also develop a theory of spectral geometric means on symmetric cones which has recently appeared in matrix theory and in the linear monotone complementarity problem for domains associated to symmetric cones. We derive Nesterov-Todd inequality using the spectral property of spectral geometric means on symmetric cones." @default.
• W65713466 created "2016-06-24" @default.
• W65713466 creator A5038941174 @default.
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• W65713466 date "2007-01-01" @default.
• W65713466 modified "2023-09-26" @default.
• W65713466 title "Metric and Spectral Geometric Means on Symmetric Cones" @default.
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