مريم خورشاهي

‎By reformulating the linear complementarity problem into a new equivalent fixed-point equation‎, ‎we deduce a modified moduluse method‎, ‎which is generalization of the classical one‎. ‎Convergence for this new method and the optima of the parameter involved are analyzed‎. ‎Then‎, ‎an inexact iteration process for this new method is presented‎, ‎which adopts some kind of itrative method for determining an approximate solution to teach system of linear equation involved in the outer iteration‎. ‎Global convergence for this inexact moduluse method and two specific implementations for the inner iterations are discussed‎. ‎Numerical result show that our new methods are more efficient than the classical one under suitable conditions.Copyright‎, ‎2008 John Wily & Sons‎, ‎Ltd‎.