globally uniquely solvable property

AN EFFICIENT ALGORITHM FOR SECOND-ORDER CONE LINEAR COMPLEMENTARITY PROBLEMS

  • Weihong Yang
  • Lei-Hong Zhang
    • Categories Complementarity and Variational Inequalities, Second-Order Cone Programming Tags , , , ,

    Recently, the globally uniquely solvable (GUS) property of the linear transformation $M\in R^{n\times n}$ in the second-order cone linear complementarity problem (SOCLCP) receives much attention and has been studied substantially. Yang and Yuan [30] contributed a new characterization of the GUS property of the linear transformation, which is formulated by basic linear-algebra-related properties. In this … Read more

    The Globally Uniquely Solvable Property of Second-Order Cone Linear Complementarity Problems

  • Weihong Yang
  • Xiao-Ming Yuan
    • Categories Complementarity and Variational Inequalities, Second-Order Cone Programming Tags , ,

    The globally uniquely solvable (GUS) property of the linear transformation of the linear complementarity problems over symmetric cones has been studied recently by Gowda et al. via the approach of Euclidean Jordan algebra. In this paper, we contribute a new approach to characterizing the GUS property of the linear transformation of the second-order cone linear … Read more