PROPERTIES OF CIRCULAR CONE AND SPECTRAL FACTORIZATION ASSOCIATED WITH CIRCULAR CONE

摘要

Circular cone includes second-order cone as a special case when the rotation angle is 45 degree. This paper gives an insight on circular cone, in which we describe the tangent cone, normal cone, second order tangent cone, and second order regularity of circular cone. Moreover, we establish the spectral factorization associated with circular cone. These results are crucial to subsequent study regarding various analysis towards optimizations associated with circular cone.