Convexity of a class of matrix functions
Abstract
In this paper, we present some sufficient conditions for the convexity of the function $ f\left( A \right) = g\left( {\det A } \right)$, where $ g\left( x \right)$ is a monotonic increasing and convex function.
Copyright © 2012 Xiang Gao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
X. Gao, Convexity of a class of matrix functions, J. Math. Comput. Sci. 2 (2012), 824–829.
BibTeX
@article{Gao2012,
author = {Gao, Xiang},
title = {Convexity of a class of matrix functions},
journal = {J. Math. Comput. Sci.},
volume = {2},
year = {2012},
pages = {824--829},
doi = {}
}