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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.OC2014★ 4 cited
Exact penalty decomposition method for zero-norm minimization based on MPEC formulation
Shujun Bi, Xiaolan Liu, Shaohua Pan
We reformulate the zero-norm minimization problem as an equivalent mathematical program with equilibrium constraints and establish that its penalty problem, induced by adding the c…