A two-step iteration method for the horizontal nonlinear complementarity problem

Convergence of modulus-based matrix splitting iteration method for a class of nonlinear complementarity problems

“…After that, a series of modulus-based type matrix splitting iteration methods have been proposed, for instance, the general modulus-based matrix splitting method [14], the preconditioned modulus-based matrix splitting iteration method [15], the two-step modulus-based matrix splitting iteration method [16], the accelerated modulus-based matrix splitting iteration methods [17], and so on. Since these modulus-based type matrix splitting iteration methods are usually very practical and effective, many authors extended this kind of methods to solve other complementarity problems, such as the implicit complementarity problems [6,18,19], the weakly nonlinear complementarity problems [3,4], the horizontal nonlinear complementarity problems [20,21], the quasi-complementarity problems [22], and so on.…”