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math.OC2026
Exploiting block triangular submatrices in KKT systems
Robert Parker, Manuel Garcia, Russell Bent
We propose a method for solving Karush-Kuhn-Tucker (KKT) systems that exploits block triangular submatrices by first using a Schur complement decomposition to isolate the block tri…
math.OC2026
Variable aggregation for nonlinear optimization problems
Sakshi Naik, Lorenz Biegler, Russell Bent +1
Variable aggregation has been largely studied as an important pre-solve algorithm for optimization of linear and mixed-integer programs. Although some nonlinear solvers and algebra…
math.OC2025
Transient Stability-Constrained OPF: Neural Network Surrogate Models and Pricing Stability
Manuel Garcia, Nicole LoGiudice, Robert Parker +1
A Transient Stability-Constrained Optimal Power Flow (TSC-OPF) problem is proposed that enforces frequency stability constraints using Neural Network (NN) surrogate models. NNs are…