An interior point method for the nonlinear complementarity problem (Q1369440)

The author presents an interior point method for the nonlinear complementarity problem \(z\geq 0\), \(F(z)\geq 0\), \(z^TF(z)= 0\), where \(F:\mathbb{R}^n\to\mathbb{R}^n\). The given method converges whenever the problem has solutions and \(F\) is paramonotone, i.e. monotone and such that \((F(x)- F(y),x- y)=0\) implies \(F(x)= F(y)\).