A geometric analysis shows PDHG on LP produces a spiral dynamic with orthogonal rotation and forward components, which is used to design a new non-simplex crossover algorithm for vertex solutions.
An optimal-basis identification technique for interior-point linear programming algorithms
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A New Crossover Algorithm for LP Inspired by the Spiral Dynamic of PDHG
A geometric analysis shows PDHG on LP produces a spiral dynamic with orthogonal rotation and forward components, which is used to design a new non-simplex crossover algorithm for vertex solutions.