SECANT METHODS FOR SEMISMOOTH EQUATIONS

Some generalizations of the secant method to semismooth equations are presented. In the one-dimensional case the superlinear convergence of the classical secant method for general semismooth equations is proved . Moreover a new quadratically convergent method is proposed that requ ires two function values per iteration. For the n-dimensional cases, w e discuss secant methods for two classes of composite semismooth equat ions. Most often studied semismooth equations are of such form.