Ziran Yin

Perturbation analysis of a class of conic programming problems under Jacobian uniqueness conditions

  • Ziran Yin
  • Liwei Zhang
    • Categories Linear, Cone and Semidefinite Programming, Second-Order Cone Programming, Semi-definite Programming

    We consider the stability of a class of parameterized conic programming problems which are more general than the C2-smooth parameterization. We show that when the Karush-Kuhn-Tucker (KKT) condition, the constraint nondegeneracy condition, the strict complementary condition and the second order sucient condition (named as Jacobian uniqueness conditions here) are satis ed at a feasible point of … Read more

    Perturbation analysis of nonlinear semidefinite programming under Jacobian uniqueness conditions

  • Ziran Yin
  • Liwei Zhang
    • Categories Semi-definite Programming

    We consider the stability of a class of parameterized nonlinear semidefinite programming problems whose objective function and constraint mapping all have second partial derivatives only with respect to the decision variable which are jointly continuous. We show that when the Karush-Kuhn-Tucker (KKT) condition, the constraint nondegeneracy condition, the strict complementary condition and the second order … Read more