Global convergence methods for nonsmooth equations with finitely many maximum functions and their applications (Q2927964)

Nonsmooth equations with finitely many maximum functions are often used in the study of complementarity problems, variational inequalities and many problems in engineering and mechanics. The authors consider the global convergence methods for nonsmooth equations with finitely many maximum functions of the following form NEWLINE\[NEWLINE\begin{aligned} \max_{j\in J_1} &f_{1j} (x)=0\\ &\vdots\\ \max_{j\in J_n} &f_{nj} (x)=0.\end{aligned}NEWLINE\]NEWLINE The steepest decent method and the smoothing gradient method are used to solve these equations.NEWLINENEWLINE Some numerical experiments are presented.