polyhedral set

Constructing New Weighted l1-Algorithms for the Sparsest Points of Polyhedral Sets

  • Zhi-Quan Luo
  • Yun-Bin Zhao
    • Categories Basic Sciences Applications, Convex and Nonsmooth Optimization Tags , , , , , ,

    The l0-minimization problem that seeks the sparsest point of a polyhedral set is a longstanding challenging problem in the fields of signal and image processing, numerical linear algebra and mathematical optimization. The weighted l1-method is one of the most plausible methods for solving this problem. In this paper, we develop a new weighted l1-method through … Read more

    Invariance conditions for nonlinear dynamical systems

  • Zoltán Horváth
  • Tamás Terlaky
  • Yunfei Song
    • Categories Convex Optimization Tags , , , ,

    Recently, Horv\’ath, Song, and Terlaky [\emph{A novel unified approach to invariance condition of dynamical system, submitted to Applied Mathematics and Computation}] proposed a novel unified approach to study, i.e., invariance conditions, sufficient and necessary conditions, under which some convex sets are invariant sets for linear dynamical systems. In this paper, by utilizing analogous methodology, we … Read more