3 papers
math.OC2024
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…
math.OC2024
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,…
math.OC2018
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…