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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 278C: Optimization and Data Science
Prof. Lijun Ding
UCSD
On Squared-Variable Formulations for Nonlinear Semidefinite Programming
Abstract:
We study squared-variable formulations for nonlinear semidefinite programming. We show an equivalence result of second-order stationary points of the nonsymmetric-squared-variable formulations and the nonlinear semidefinite programs. We also show that such an equivalence fails for the local minimizers and second-order stationary points of the symmetric-squared-variable formulations and the nonlinear semidefinite programs, correcting a false understanding in the literature and providing sufficient conditions for such a correspondence to hold.
October 22, 2025
4:00 PM
APM 2402 & Zoom (Meeting ID: 926 5846 1639 / Password: OPT25FA)
Research Areas
Optimization****************************
