陳界山Jein-Shan Chen洪浩峰Hao-Feng Hung2019-09-052013-6-282019-09-052013http://etds.lib.ntnu.edu.tw/cgi-bin/gs32/gsweb.cgi?o=dstdcdr&s=id=%22GN060040016S%22.&%22.id.&http://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/101694The circular cone is a pointed closed convex cone having hyperspherical sections orthogonal to its axis of revolution about which the cone is invariant to rotation. In this section, we establish some inequalities associated with circular cone, which we believe that they will be useful for further analyzing properties of $f^{\mathcal{L}_\theta}$ and proving the convergence of interior point methods for optimization problems involved in circular cones.Second-order conecircular conespectral factorizationdeterminanttrace