symmetric cone complementarity problem

Monotonicity of L”{o}wner Operators and Its Applications to Symmetric Cone Complementarity Problems

  • Lingchen Kong
  • Levent Tunçel
  • Naihua Xiu
    • Categories Complementarity and Variational Inequalities, Generalized Convexity/Monoticity, Semi-definite Programming Tags , , , ,

    This paper focuses on monotone L\”{o}wner operators in Euclidean Jordan algebras and their applications to the symmetric cone complementarity problem (SCCP). We prove necessary and sufficient conditions for locally Lipschitz L\”{o}wner operators to be monotone, strictly monotone and strongly monotone. We also study the relationship between monotonicity and operator-monotonicity of L\”{o}wner operators. As a by-product … Read more