Derivative-free conjugate gradient type methods for symmetric complementarity problems (Q2846939)

The author concerns with a derivative-free method for solving symmetric nonlinear complementarity of the following form NEWLINE\[NEWLINE\text{Find a vector }x\geq 0,\quad F(x)\geq 0\quad\text{and}\quad x^T F(x)= 0.NEWLINE\]NEWLINE The problem is transferred into an equivalent nonsmooth equation and the author extends two recently developed modified PRP conjugate gradient methods to solve this nonsmooth equation. Under mild conditions, it is shown that both methods are globally convergent. Numerical tests are given.