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math.OC2026
A Level Set Method with Secant Iterations for the Least-Squares Constrained Nuclear Norm Minimization
Chiyu Ma, Jiaming Ma, Defeng Sun
We present an efficient algorithm for least-squares constrained nuclear norm minimization, a computationally challenging problem with broad applications. Our approach combines a le…
math.OC2025
The Aubin Property for Generalized Equations over -cone Reducible Sets
Jiaming Ma, Defeng Sun
This paper establishes the equivalence between the Aubin property and strong regularity for generalized equations over -cone reducible sets. This result resolves a long-standi…
math.OC2025
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…