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 Sendov, H.S.: Clarke generalized Jacobian of the projection onto the cone of positive semidefinite matrices.Set-Valued Anal., 14(3):273–293, (2006)
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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.