11 citations · 11 across the 4 of their papers we have counts for
4 papers
Twice Epi-Differentiability of Spectral Functions and its applications
Chao Ding, Ebrahim Sarabi, Shiwei Wang
Second-order variational properties have been shown to play important theoretical and numerical roles for different classes of optimization problems. Among such properties, twice e…
Characterizations of Tilt-Stable Local Minimizers of a Class of Matrix Optimization Problems
Chao Ding, Ebrahim Sarabi, Shiwei Wang
Tilt stability plays a pivotal role in understanding how local solutions of an optimization problem respond to small, targeted perturbations of the objective. Although quadratic bu…
Strong Variational Sufficiency for Nonlinear Semidefinite Programming and its Implications
Shiwei Wang, Chao Ding, Yangjing Zhang +1
Strong variational sufficiency is a newly proposed property, which turns out to be of great use in the convergence analysis of multiplier methods. However, what this property impli…
Local convergence analysis of augmented Lagrangian method for nonlinear semidefinite programming
Shiwei Wang, Chao Ding
The augmented Lagrangian method (ALM) has gained tremendous popularity for its elegant theory and impressive numerical performance since it was proposed by Hestenes and Powell in 1…