## 圓錐上的軌跡函數的凸性 THE CONVEXITY OF CIRCULAR CONE TRACE FUNCTIONS

2015

Wu, Ti-Wen
##### Abstract

Uusing the Schur complement theorem[1][2] to nd the sucient conditions which make the Hessian of circular cone trace function positive semi-denite or positive denite, and proved that these monotone conditions can make the trace function convex or strictly convex. After that, some examples are given to explain why we have to satisfy these monotone conditions.
##### Keywords
Circular cone, Trace, Convexity, Monotone, Schur