In this paper, we provide an important application of the Schur Complement Theorem in establishing convexity of some functions associated with second-order cones (SOCs), called SOC-trace functions. As illustrated in the paper, these functions play a key role in the development of penalty and barrier functions methods for second-order cone programs, and establishment of some important inequalities associated with SOCs.
|頁（從 - 到）||421-431|
|期刊||Journal of Nonlinear and Convex Analysis|
|出版狀態||已發佈 - 2012 七月 1|
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