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math.OC2026
Semismooth Newton methods for degenerate polyhedral projection
Chao Ding, Fuxiaoyue Feng, Xudong Li
In this paper, we study dual semismooth Newton (SSN) methods for degenerate polyhedral projection problems, where generalized Jacobians of the dual residual may remain singular eve…
math.OC2024
A quadratically convergent semismooth Newton method for nonlinear semidefinite programming without generalized Jacobian regularity
Fuxiaoyue Feng, Chao Ding, Xudong Li
We introduce a quadratically convergent semismooth Newton method for nonlinear semidefinite programming that eliminates the need for the generalized Jacobian regularity, a common y…
math.OC2019
Hölderian error bounds and Kurdyka-Łojasiewicz inequality for the trust region subproblem
Rujun Jiang, Xudong Li
In this paper, we study the local variational geometry of the optimal solution set of the trust region subproblem (TRS), which minimizes a general, possibly nonconvex, quadratic fu…