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Towards a Characterization of Matrix Monotonicity via Radial Convexity

Czerwińska, Małgorzata M. et al.
arXiv (All) · Papers
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functional-analysisprimarysecondary
The theory of matrix monotone functions of finite degree depends subtly on the matrix size. Motivated by this phenomenon, we introduce radial convexity of metrics with respect to matrix orders on the cone of positive definite matrices. We establish radial convexity of several natural metrics with re
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