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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
Water Demand Maximization: Quick Recovery of Nonlinear Physics Solutions
Sai Krishna Kanth Hari, Russell Bent
Determining the maximum demand a water distribution network can satisfy is crucial for ensuring reliable supply and planning network expansion. This problem, typically formulated a…
math.OC2023
Heuristic Algorithms for Placing Geomagnetically Induced Current Blocking Devices
Minseok Ryu, Ahmed Attia, Arthur Barnes +3
We propose a new heuristic approach for solving the challenge of determining optimal placements for geomagnetically induced current blocking devices on electrical grids. Traditiona…