6 papers · 1 filter
Tilt stability of a class of nonlinear semidefinite programs
Yulan Liu, Shaohua Pan, Shujun Bi
This paper concerns the tilt stability of local optimal solutions to a class of nonlinear semidefinite programs, which involves a twice continuously differentiable objective functi…
Tilt stability of Ky-Fan -norm composite optimization
Yulan Liu, Shaohua Pan, Wen Song
This paper concerns the tilt stability for the minimization of the sum of a twice continuously differentiable matrix-valued function and the Ky-Fan -norm. To achieve this goal,…
Second-order optimality conditions for SDCMPCC and application to rank optimization problems
Yulan Liu, Shaohua Pan
This paper is concerned with second-order optimality conditions for the mathematical program with semidefinite cone complementarity constraints (SDCMPCC).To achieve this goal, we f…
Several classes of stationary points for rank regularized minimization problems
Yulan Liu, Shaohua Pan
For the rank regularized minimization problem, we introduce several kinds of stationary points by the problem itself and its equivalent reformulations including the mathematical pr…
Subregularity of subdifferential mappings relative to the critical set and KL property of exponent 1/2
Shaohua Pan, Yulan Liu
For a proper extended real-valued function, this work focuses on the relationship between the subregularity of its subdifferential mapping relative to the critical set and its KL p…
Strong calmness of perturbed KKT system for a class of conic programming with degenerate solutions
Yulan Liu, Shaohua Pan
This paper is concerned with the strong calmness of the KKT solution mapping for a class of canonically perturbed conic programming, which plays a central role in achieving fast co…