A semi-smooth Newton method is developed for nonlinear conic programs over generalized simplicial cones, with local quadratic convergence proven via conic projection equations and strong semi-smoothness of the projection operator.
and McArdle, S.: Quantum and classical algorithms for second- order cone programming based on the multiplicative weights update method.arXiv preprint arXiv:2507.14127, (2025)
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A semi-smooth Newton method for the nonlinear conic problem with generalized simplicial cones
A semi-smooth Newton method is developed for nonlinear conic programs over generalized simplicial cones, with local quadratic convergence proven via conic projection equations and strong semi-smoothness of the projection operator.