On the convergence of the multisplitting methods for the linear complementarity problem

The convergence properties of a variant of the multisplitting methods for s olving the large sparse linear complementarity problems presented by Machid a, Fukushima, and Ibaraki [J. Comput. Appl. Math., 62 (1995), pp. 217-227] are further discussed when the system matrices are nonsymmetric and the wei ghting matrices are nonnegative and diagonal. This directly results in seve ral novel sufficient conditions for guaranteeing the convergence of these m ultisplitting methods. Moreover, some applicable parallel multisplitting re laxation methods and their corresponding convergence properties are discuss ed in detail.