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 Lu, Z.: A Newton-CG based barrier method for finding a second-order station- ary point of nonconvex conic optimization with complexity guarantees.SIAM J
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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.