二階錐跡函數的自協調性

Abstract

自協調性函數在內點法的使用上扮演了重要的角色。在這篇論文中我們檢驗了一些原始函數和其二階錐跡函數的自協調性及強自協調性，我們想要去建立原始函數和其二階錐跡函數的強自協調性的對應關係。The strongly non-degenerate self-corcordant functions are the key to applying interior-point method. In this paper, we check the self-concordancy and the strongly non-degenerate self-concordancy for some examples, and we want to establish strongly non-degenerate self-concordancy of some functions associated with second-order cone, called SOC trace functions.