A semismooth Newton method for nonlinear symmetric cone programming (Q1935944)

The authors employ the projection operator to design a semismooth Newton algorithm for solving nonlinear symmetric cone programming of the following form \[ \min f(x)\qquad\text{s.t.}\;Ax= q,\quad x\in K. \] The algorithm is computable from the theoretical standpoint and is proved to be locally quadratically convergent.