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- W2951521379 abstract "The matrix convexity and the matrix monotony of a real $C^1$ function $f$ on $(0,infty)$ are characterized in terms of the conditional negative or positive definiteness of the Loewner matrices associated with $f$, $tf(t)$, and $t^2f(t)$. Similar characterizations are also obtained for matrix monotone functions on a finite interval $(a,b)$." @default.
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- W2951521379 date "2010-07-15" @default.
- W2951521379 modified "2023-10-12" @default.
- W2951521379 title "Loewner matrices of matrix convex and monotone functions" @default.
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- W2951521379 doi "https://doi.org/10.48550/arxiv.1007.2478" @default.
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