A new error bound for linear complementarity problems with weakly chained diagonally dominant B-matrices

摘要

Recently, some error bounds for the linear complementarity problem with a weakly chained diagonally dominant B-matrix have been given under certain conditions. In this paper we provide a new and even optimal error bound for such linear complementarity problems under weaker conditions than those there, greatly improving the existing ones. Some numerical examples are performed to illustrate the sharpness and optimality of our new bound.