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Differential analysis of matrix convex functions II

Frank Hansen·Jun Tomiyama
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Abstract

We continue the analysis in [3] of matrix convex functions of a fixed order defined in a real interval by differential methods as opposed to the characterization in terms of divided differences given by Kraus [5]. We amend and improve some points in the previously given presentation, and we give a number of simple but important consequences of matrix convexity of low orders.

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Frank Hansen, Jun Tomiyama. 2007-03-09. Differential analysis of matrix convex functions II. https://arxiv.org/abs/math/0703271

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