4 papers
On Error Bounds for Rank-Constrained Affine Matrix Sets
Ruoning Chen, Defeng Sun, Liping Zhang
Rank-constrained matrix problems appear frequently across science and engineering. The convergence analysis of iterative algorithms developed for these problems often hinges on loc…
On the -order Semismoothness of the Metric Projection onto Slices of the Positive Semidefinite Cone
Ruoning Chen, Jiaming Ma, Defeng Sun
The metric projection onto the positive semidefinite (PSD) cone is strongly semismooth, a property that guarantees local quadratic convergence for many powerful algorithms in semid…
Characterizations of the Aubin Property of the Solution Mapping for Nonlinear Semidefinite Programming
Liang Chen, Ruoning Chen, Defeng Sun +1
In this paper, we study the Aubin property of the Karush-Kuhn-Tucker solution mapping for the nonlinear semidefinite programming (NLSDP) problem at a locally optimal solution. In t…
Aubin Property and Strong Regularity Are Equivalent for Nonlinear Second-Order Cone Programming
Liang Chen, Ruoning Chen, Defeng Sun +1
This paper solves a fundamental open problem in variational analysis on the equivalence between the Aubin property and the strong regularity for nonlinear second-order cone program…