The author considers systems of nonsmooth equations which are formed by max-type functions or by smooth compositions of max-type functions. The modification of the Newton method, proposed by the author, is based on the new definition of the differential for the functions
This method can be implemented more easily than previous ones because they do not require an element of the Clarke generalized Jacobian [cf. F. H. Clarke
, Optimization and nonsmooth analysis (1983; Zbl 0582.49001
-superlinear convergence is proved.