Strong Variational Sufficiency for Nonlinear Semidefinite Programming and Its Implications

Augmented Lagrangians and hidden convexity in sufficient conditions for local optimality

(2022) R. Tyrrell Rockafellar   MATHEMATICAL PROGRAMMING

Convergence of augmented Lagrangian methods in extensions beyond nonlinear programming

(2022) R. Tyrrell Rockafellar   MATHEMATICAL PROGRAMMING

Parabolic regularity on geometric variational analysis

(2020) Ashkan Mohammadi et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

SDPNAL+: A Matlab software for semidefinite programming with bound constraints (version 1.0)

(2019) Defeng Sun et al.   OPTIMIZATION METHODS & SOFTWARE

On the R-superlinear convergence of the KKT residuals generated by the augmented Lagrangian method for convex composite conic programming

(2018) Ying Cui et al.   MATHEMATICAL PROGRAMMING

Improved local convergence results for augmented Lagrangian methods in C2-cone reducible constrained optimization

(2018) Christian Kanzow et al.   MATHEMATICAL PROGRAMMING

Quadratic Growth Conditions for Convex Matrix Optimization Problems Associated with Spectral Functions

(2017) Ying Cui et al.   SIAM JOURNAL ON OPTIMIZATION

Characterization of the Robust Isolated Calmness for a Class of Conic Programming Problems

(2017) Chao Ding et al.   SIAM JOURNAL ON OPTIMIZATION

Full Stability in Finite-Dimensional Optimization

(2015) B. S. Mordukhovich et al.   MATHEMATICS OF OPERATIONS RESEARCH

First order optimality conditions for mathematical programs with semidefinite cone complementarity constraints

(2013) Chao Ding et al.   MATHEMATICAL PROGRAMMING

Local Convergence of Exact and Inexact Augmented Lagrangian Methods under the Second-Order Sufficient Optimality Condition

(2012) D. Fernández et al.   SIAM JOURNAL ON OPTIMIZATION

Second-Order Subdifferential Calculus with Applications to Tilt Stability in Optimization

(2012) B. S. Mordukhovich et al.   SIAM JOURNAL ON OPTIMIZATION

A Newton-CG Augmented Lagrangian Method for Semidefinite Programming

(2010) Xin-Yuan Zhao et al.   SIAM JOURNAL ON OPTIMIZATION

Constraint Nondegeneracy, Strong Regularity, and Nonsingularity in Semidefinite Programming

(2008) Zi Xian Chan et al.   SIAM JOURNAL ON OPTIMIZATION