Advanced Search
Article Contents
Article Contents

Barriers on projective convex sets

Abstract Related Papers Cited by
  • Modern interior-point methods used for optimization on convex sets in ane space are based on the notion of a barrier function. Projective space lacks crucial properties inherent to ane space, and the concept of a barrier function cannot be directly carried over. We present a self-contained theory of barriers on convex sets in projective space which is build upon the projective cross-ratio. Such a projective barrier equips the set with a Codazzi structure, which is a generalization of the Hessian structure induced by a barrier in the ane case. The results provide a new interpretation of the ane theory and serve as a base for constructing a theory of interior-point methods for projective convex optimization.
    Mathematics Subject Classification: Primary: 52A99; Secondary: 53B05.


    \begin{equation} \\ \end{equation}
  • 加载中
Open Access Under a Creative Commons license

Article Metrics

HTML views() PDF downloads(202) Cited by(0)

Access History

Other Articles By Authors



    DownLoad:  Full-Size Img  PowerPoint