The Convexity of C → h(detC)

M. Silhav´y

doi:10.24352/UB.OVGU-2017-069

The Convexity of C → h(detC)

Authors

M. Silhav´y

DOI:

https://doi.org/10.24352/UB.OVGU-2017-069

Abstract

A simple proof is given of the characterization of the convexity of the function C → h(detC) on positive definite symmetric matrices due to Lehmich et al. (2014). The proof uses the classical characterization of convex functions depending on a symmetric matrix through its eigenvalues due to Davis (1957).

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Published

2019-06-24

How to Cite

Silhav´y, M. (2019) “The Convexity of C → h(detC)”, Technische Mechanik - European Journal of Engineering Mechanics, 35(1), pp. 60–61. doi: 10.24352/UB.OVGU-2017-069.